Class 12 Mathematics Probability Important Questions and Answers
Conditional, Bayes, random variable, Bernoulli.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
1. Chapter introduction
Probability is Chapter 13 in Class 12 Mathematics (NCERT Mathematics). Read the textbook first, then use the 100 questions below as revision — not as a substitute for NCERT examples.
2. Chapter summary
Conditional, Bayes, random variable, Bernoulli.
3. Important concepts
Probability. Conditional probability.
Probability. Bayes theorem.
Probability. Independent events.
Probability. Random variable and mean/variance of a probability distribution.
Probability. Bernoulli trials and binomial.
Probability. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics.
Textbook first. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions.
Keywords. Every chapter ends with keywords or a summary that is useful for one-mark answers.
Examples. CBSE often tests a concept by asking a daily-life example from the same chapter.
Diagrams. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.
Revision. Write three points from Probability in your own words; that is enough for a short-answer start.
Accuracy. Use the terms used in the NCERT book; do not replace them with unofficial names.
Practice. Mix MCQs with short answers so you remember both facts and explanations from Probability.
Choose the correct statement related to Probability in the chapter Probability.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Independent events
C. Conditional probability
D. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
C. Conditional probability
Explanation
Conditional probability. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Bayes theorem
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Random variable and mean/variance of a probability distribution
Answer
A. Bayes theorem
Explanation
Bayes theorem. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Write three points from Probability in your own words; that is enough for a short-answer start
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. Bernoulli trials and binomial
D. Independent events
Answer
D. Independent events
Explanation
Independent events. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Random variable and mean/variance of a probability distribution
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
A. Random variable and mean/variance of a probability distribution
Explanation
Random variable and mean/variance of a probability distribution. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Probability in the chapter Probability.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Mix MCQs with short answers so you remember both facts and explanations from Probability
C. Bernoulli trials and binomial
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
C. Bernoulli trials and binomial
Explanation
Bernoulli trials and binomial. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q6MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Random variable and mean/variance of a probability distribution
B. Write three points from Probability in your own words; that is enough for a short-answer start
C. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Every chapter ends with keywords or a summary that is useful for one-mark answers
Answer
C. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
Explanation
Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q7MCQ1 markEasy
Choose the correct statement related to Textbook first in the chapter Probability.
A. The textbook says the opposite of this statement
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. Use the terms used in the NCERT book; do not replace them with unofficial names
Answer
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
Explanation
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q8MCQ1 markEasy
Choose the correct statement related to Keywords in the chapter Probability.
A. This happens only in a laboratory and never in daily life
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Every chapter ends with keywords or a summary that is useful for one-mark answers
D. Mix MCQs with short answers so you remember both facts and explanations from Probability
Answer
C. Every chapter ends with keywords or a summary that is useful for one-mark answers
Explanation
Every chapter ends with keywords or a summary that is useful for one-mark answers. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Probability.
A. Conditional probability
B. Write three points from Probability in your own words; that is enough for a short-answer start
C. This idea is not part of the NCERT chapter
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q10MCQ1 markModerate
Choose the correct statement related to Diagrams in the chapter Probability.
A. Bayes theorem
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. The textbook says the opposite of this statement
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Explanation
If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q11MCQ1 markEasy
Choose the correct statement related to Revision in the chapter Probability.
A. Write three points from Probability in your own words; that is enough for a short-answer start
B. Mix MCQs with short answers so you remember both facts and explanations from Probability
C. Independent events
D. This happens only in a laboratory and never in daily life
Answer
A. Write three points from Probability in your own words; that is enough for a short-answer start
Explanation
Write three points from Probability in your own words; that is enough for a short-answer start. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q12MCQ1 markEasy
Choose the correct statement related to Accuracy in the chapter Probability.
A. Random variable and mean/variance of a probability distribution
B. This idea is not part of the NCERT chapter
C. Use the terms used in the NCERT book; do not replace them with unofficial names
D. Conditional probability
Answer
C. Use the terms used in the NCERT book; do not replace them with unofficial names
Explanation
Use the terms used in the NCERT book; do not replace them with unofficial names. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Probability.
A. Bernoulli trials and binomial
B. Mix MCQs with short answers so you remember both facts and explanations from Probability
C. The textbook says the opposite of this statement
D. Bayes theorem
Answer
B. Mix MCQs with short answers so you remember both facts and explanations from Probability
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Probability. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q14MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. This happens only in a laboratory and never in daily life
C. Conditional probability
D. Random variable and mean/variance of a probability distribution
Answer
C. Conditional probability
Explanation
Conditional probability. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q15MCQ1 markModerate
Choose the correct statement related to Probability in the chapter Probability.
A. Bernoulli trials and binomial
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. Bayes theorem
D. Conditional probability
Answer
C. Bayes theorem
Explanation
Bayes theorem. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q16MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Independent events
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Bayes theorem
Answer
A. Independent events
Explanation
Independent events. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Probability in the chapter Probability.
A. Random variable and mean/variance of a probability distribution
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Independent events
Answer
A. Random variable and mean/variance of a probability distribution
Explanation
Random variable and mean/variance of a probability distribution. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q18MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Bernoulli trials and binomial
B. Random variable and mean/variance of a probability distribution
C. Write three points from Probability in your own words; that is enough for a short-answer start
D. Every chapter ends with keywords or a summary that is useful for one-mark answers
Answer
A. Bernoulli trials and binomial
Explanation
Bernoulli trials and binomial. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q19MCQ1 markEasy
Choose the correct statement related to Probability in the chapter Probability.
A. Bayes theorem
B. This topic is only for college
C. Bernoulli trials and binomial
D. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
D. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
Explanation
Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q20MCQ1 markModerate
Choose the correct statement related to Textbook first in the chapter Probability.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics
C. Mix MCQs with short answers so you remember both facts and explanations from Probability
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
Explanation
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q211 Mark1 markEasy
Define or state: Keywords.
Answer
Every chapter ends with keywords or a summary that is useful for one-mark answers.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q221 Mark1 markEasy
Define or state: Examples.
Answer
CBSE often tests a concept by asking a daily-life example from the same chapter.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q231 Mark1 markEasy
Define or state: Diagrams.
Answer
If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q241 Mark1 markEasy
Define or state: Revision.
Answer
Write three points from Probability in your own words; that is enough for a short-answer start.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q251 Mark1 markModerate
Define or state: Accuracy.
Answer
Use the terms used in the NCERT book; do not replace them with unofficial names.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q261 Mark1 markEasy
Define or state: Practice.
Answer
Mix MCQs with short answers so you remember both facts and explanations from Probability.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q271 Mark1 markEasy
Define or state: Probability.
Answer
Conditional probability.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q281 Mark1 markEasy
Define or state: Probability.
Answer
Bayes theorem.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q291 Mark1 markEasy
Define or state: Probability.
Answer
Independent events.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q301 Mark1 markModerate
Define or state: Probability.
Answer
Random variable and mean/variance of a probability distribution.
Explanation
A one-mark answer should use the textbook term and one clear fact — not a long paragraph.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q312 Mark2 marksModerate
Give two points to explain Probability as used in Probability.
Answer
1. Bernoulli trials and binomial.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q322 Mark2 marksDifficult
Give two points to explain Probability as used in Probability.
Answer
1. Probability is an NCERT chapter taught in CBSE Class 12 Mathematics.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q332 Mark2 marksModerate
Give two points to explain Textbook first as used in Probability.
Answer
1. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q342 Mark2 marksModerate
Give two points to explain Keywords as used in Probability.
Answer
1. Every chapter ends with keywords or a summary that is useful for one-mark answers.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q352 Mark2 marksModerate
Give two points to explain Examples as used in Probability.
Answer
1. CBSE often tests a concept by asking a daily-life example from the same chapter.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q362 Mark2 marksDifficult
Give two points to explain Diagrams as used in Probability.
Answer
1. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q372 Mark2 marksModerate
Give two points to explain Revision as used in Probability.
Answer
1. Write three points from Probability in your own words; that is enough for a short-answer start.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q382 Mark2 marksModerate
Give two points to explain Accuracy as used in Probability.
Answer
1. Use the terms used in the NCERT book; do not replace them with unofficial names.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q392 Mark2 marksModerate
Give two points to explain Practice as used in Probability.
Answer
1. Mix MCQs with short answers so you remember both facts and explanations from Probability.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q402 Mark2 marksDifficult
Give two points to explain Probability as used in Probability.
Answer
1. Conditional probability.
2. Keep the NCERT wording and add one daily-life example from the same chapter.
Explanation
Two-mark answers work best as two numbered points. One definition plus one example is usually enough.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Probability in about three points, with one example.
Answer
Bayes theorem. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q423 Mark3 marksModerate
Explain Probability in about three points, with one example.
Answer
Independent events. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q433 Mark3 marksModerate
Explain Probability in about three points, with one example.
Answer
Random variable and mean/variance of a probability distribution. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q443 Mark3 marksDifficult
Explain Probability in about three points, with one example.
Answer
Bernoulli trials and binomial. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q453 Mark3 marksModerateRevision pick
Explain Probability in about three points, with one example.
Answer
Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q463 Mark3 marksModerate
Explain Textbook first in about three points, with one example.
Answer
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q473 Mark3 marksModerate
Explain Keywords in about three points, with one example.
Answer
Every chapter ends with keywords or a summary that is useful for one-mark answers. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q483 Mark3 marksDifficult
Explain Examples in about three points, with one example.
Answer
CBSE often tests a concept by asking a daily-life example from the same chapter. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q494 Mark4 marksModerate
Write a long answer on Diagrams. Include definition, explanation and one application.
Answer
Diagrams — If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q504 Mark4 marksModerate
Write a long answer on Revision. Include definition, explanation and one application.
Answer
Revision — Write three points from Probability in your own words; that is enough for a short-answer start. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q514 Mark4 marksModerate
Write a long answer on Accuracy. Include definition, explanation and one application.
Answer
Accuracy — Use the terms used in the NCERT book; do not replace them with unofficial names. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q524 Mark4 marksDifficult
Write a long answer on Practice. Include definition, explanation and one application.
Answer
Practice — Mix MCQs with short answers so you remember both facts and explanations from Probability. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q534 Mark4 marksModerate
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Conditional probability. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q544 Mark4 marksModerate
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Bayes theorem. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q555 Mark5 marksModerate
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Independent events. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q565 Mark5 marksModerate
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Random variable and mean/variance of a probability distribution. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q575 Mark5 marksDifficultRevision pick
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Bernoulli trials and binomial. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q585 Mark5 marksModerate
Write a long answer on Probability. Include definition, explanation and one application.
Answer
Probability — Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q595 Mark5 marksModerate
Write a long answer on Textbook first. Include definition, explanation and one application.
Answer
Textbook first — Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q605 Mark5 marksDifficult
Write a long answer on Keywords. Include definition, explanation and one application.
Answer
Keywords — Every chapter ends with keywords or a summary that is useful for one-mark answers. Explain the idea in order (definition → working → result). End with one application from daily life or a numerical/diagram if the chapter has one.
Explanation
Long answers are marked for structure. Use headings or numbered steps so the examiner can see each part.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q61Assertion and Reason1 markModerate
Assertion (A): CBSE often tests a concept by asking a daily-life example from the same chapter.
Reason (R): Examples is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q62Assertion and Reason1 markModerate
Assertion (A): If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.
Reason (R): Diagrams is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q63Assertion and Reason1 markModerate
Assertion (A): Write three points from Probability in your own words; that is enough for a short-answer start.
Reason (R): Revision is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q64Assertion and Reason1 markDifficult
Assertion (A): Use the terms used in the NCERT book; do not replace them with unofficial names.
Reason (R): Accuracy is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q65Assertion and Reason1 markModerate
Assertion (A): Mix MCQs with short answers so you remember both facts and explanations from Probability.
Reason (R): Practice is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q66Assertion and Reason1 markModerate
Assertion (A): Conditional probability.
Reason (R): Probability is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q67Assertion and Reason1 markModerate
Assertion (A): Bayes theorem.
Reason (R): Probability is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q68Assertion and Reason1 markDifficult
Assertion (A): Independent events.
Reason (R): Probability is a key idea in the chapter Probability.
Choose the correct option.
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.
Answer
A. Both A and R are true, and R is the correct explanation of A.
Explanation
Read Assertion and Reason separately first. Here both match the textbook idea, and R explains why A is taught in this chapter.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q69Case Based4 marksModerateRevision pick
A student is revising Probability and notes: “Random variable and mean/variance of a probability distribution.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Probability.
(ii) Random variable and mean/variance of a probability distribution.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q70Case Based4 marksModerate
A student is revising Probability and notes: “Bernoulli trials and binomial.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Probability.
(ii) Bernoulli trials and binomial.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q71Case Based4 marksModerate
A student is revising Probability and notes: “Probability is an NCERT chapter taught in CBSE Class 12 Mathematics.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Probability.
(ii) Probability is an NCERT chapter taught in CBSE Class 12 Mathematics.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q72Case Based4 marksDifficult
A student is revising Probability and notes: “Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Textbook first.
(ii) Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q73Case Based4 marksModerateRevision pick
A student is revising Probability and notes: “Every chapter ends with keywords or a summary that is useful for one-mark answers.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Keywords.
(ii) Every chapter ends with keywords or a summary that is useful for one-mark answers.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q74Case Based4 marksModerate
A student is revising Probability and notes: “CBSE often tests a concept by asking a daily-life example from the same chapter.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Examples.
(ii) CBSE often tests a concept by asking a daily-life example from the same chapter.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q75Case Based4 marksModerate
A student is revising Probability and notes: “If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Diagrams.
(ii) If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q76Case Based4 marksDifficult
A student is revising Probability and notes: “Write three points from Probability in your own words; that is enough for a short-answer start.” Using this case, answer: (i) Name the idea. (ii) State it in your own words. (iii) Give one classroom or daily-life use.
Answer
(i) Revision.
(ii) Write three points from Probability in your own words; that is enough for a short-answer start.
(iii) Apply it in a school experiment, a labelled diagram, or a situation described in the NCERT chapter.
Explanation
Case-based items recycle a short story. Pull the fact out first, then apply it. This is original practice in CBSE case style — not a copied board paper.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q77Competency Based3 marksModerateRevision pick
Competency practice: A classmate can recall the heading Accuracy but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Use the terms used in the NCERT book; do not replace them with unofficial names. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q78Competency Based3 marksDifficult
Competency practice: A classmate can recall the heading Practice but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Mix MCQs with short answers so you remember both facts and explanations from Probability. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q79Competency Based3 marksModerate
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Conditional probability. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q80Competency Based3 marksModerate
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Bayes theorem. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q81Competency Based3 marksDifficultRevision pick
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Independent events. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q82Competency Based3 marksModerate
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Random variable and mean/variance of a probability distribution. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q83Competency Based3 marksModerate
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Bernoulli trials and binomial. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q84Competency Based3 marksDifficult
Competency practice: A classmate can recall the heading Probability but cannot explain it. How will you teach it in two steps using the textbook idea?
Answer
Step 1: State the fact — Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
Explanation
Competency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q85Application Based3 marksModerate
Apply the idea of Textbook first to a real situation you might meet in school or daily life.
Answer
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q86Application Based3 marksModerate
Apply the idea of Keywords to a real situation you might meet in school or daily life.
Answer
Every chapter ends with keywords or a summary that is useful for one-mark answers. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q87Application Based3 marksModerate
Apply the idea of Examples to a real situation you might meet in school or daily life.
Answer
CBSE often tests a concept by asking a daily-life example from the same chapter. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q88Application Based3 marksDifficult
Apply the idea of Diagrams to a real situation you might meet in school or daily life.
Answer
If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q89Application Based3 marksModerate
Apply the idea of Revision to a real situation you might meet in school or daily life.
Answer
Write three points from Probability in your own words; that is enough for a short-answer start. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q90Application Based3 marksModerate
Apply the idea of Accuracy to a real situation you might meet in school or daily life.
Answer
Use the terms used in the NCERT book; do not replace them with unofficial names. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
Explanation
Application questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Probability”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Probability. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Conditional probability”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Conditional probability. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Bayes theorem”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Bayes theorem. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Independent events”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Independent events. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Random variable and mean/variance of a probability distribution”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Random variable and mean/variance of a probability distribution. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Bernoulli trials and binomial”, what mistake could they make while solving a question from Probability?
Answer
They would use the wrong term or the reverse relation. Remember: Bernoulli trials and binomial. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q97NCERT-style2 marksModerate
NCERT-style exercise: In your own words, write what the chapter teaches about Probability.
Answer
Probability is an NCERT chapter taught in CBSE Class 12 Mathematics. Keep the answer as short as the in-text questions in the textbook.
Explanation
This is original practice in the style of NCERT in-text/exercise questions. It is not copied from any solutions website.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q98NCERT-style2 marksModerate
NCERT-style exercise: In your own words, write what the chapter teaches about Textbook first.
Answer
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Keep the answer as short as the in-text questions in the textbook.
Explanation
This is original practice in the style of NCERT in-text/exercise questions. It is not copied from any solutions website.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q99NCERT-style2 marksModerate
NCERT-style exercise: In your own words, write what the chapter teaches about Keywords.
Answer
Every chapter ends with keywords or a summary that is useful for one-mark answers. Keep the answer as short as the in-text questions in the textbook.
Explanation
This is original practice in the style of NCERT in-text/exercise questions. It is not copied from any solutions website.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q100NCERT-style2 marksDifficult
NCERT-style exercise: In your own words, write what the chapter teaches about Examples.
Answer
CBSE often tests a concept by asking a daily-life example from the same chapter. Keep the answer as short as the in-text questions in the textbook.
Explanation
This is original practice in the style of NCERT in-text/exercise questions. It is not copied from any solutions website.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Probability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
22. Quick revision
Close the answers. Recite three concepts from the list. Then retry ten MCQs and one long answer. That loop is enough for a school test night.
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
How should I use the 100 questions?
Try the question first, then tap Show answer. Mix MCQs with long answers. Revise formulas and diagrams from the textbook alongside this set.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-12/, then subject and chapter slugs.
