A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
🎲 SSC CGL, CBSE 10
Probability — formula, example and practice
Favourable ÷ total. Cards, coins and dice — list the sample space.
Content type: original worked example. Not labelled as a previous-year question.
Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions
Formula
P(E) = n(E) / n(S) · 0 ≤ P(E) ≤ 1
Likelihood of an event. List the sample space when n is small.
What you should learn here
Complement: P(not E) = 1 − P(E). Use it when the complementary set is smaller.
Worked example
Question. A fair die. P(even number)?
Solution. {2,4,6} / 6 = 1/2.
Common mistake. Counting 1 as even, or forgetting that cards have 4 suits × 13 ranks.
When to use the shortcut. “And” usually multiplies independent events; “or” adds if the events are disjoint.
Related chapters and tests
Statistics Permutation and Combination Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks
150 important Probability questions
Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.
Score: 0 / 0
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 6 red and 5 blue balls. P(red) as a fraction is 6/11. The denominator is
Answer / solution
Correct option: B
Total balls = 11.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 7 red and 3 blue balls. P(red) as a fraction is 7/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 3 red and 5 blue balls. P(red) as a fraction is 3/8. The denominator is
Answer / solution
Correct option: A
Total balls = 8.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 4 red and 3 blue balls. P(red) as a fraction is 4/7. The denominator is
Answer / solution
Correct option: A
Total balls = 7.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 5 red and 5 blue balls. P(red) as a fraction is 5/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 6 red and 3 blue balls. P(red) as a fraction is 6/9. The denominator is
Answer / solution
Correct option: A
Total balls = 9.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 7 red and 5 blue balls. P(red) as a fraction is 7/12. The denominator is
Answer / solution
Correct option: B
Total balls = 12.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 3 red and 3 blue balls. P(red) as a fraction is 3/6. The denominator is
Answer / solution
Correct option: B
Total balls = 6.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 4 red and 5 blue balls. P(red) as a fraction is 4/9. The denominator is
Answer / solution
Correct option: B
Total balls = 9.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 5 red and 3 blue balls. P(red) as a fraction is 5/8. The denominator is
Answer / solution
Correct option: C
Total balls = 8.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 6 red and 5 blue balls. P(red) as a fraction is 6/11. The denominator is
Answer / solution
Correct option: B
Total balls = 11.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 7 red and 3 blue balls. P(red) as a fraction is 7/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 3 red and 5 blue balls. P(red) as a fraction is 3/8. The denominator is
Answer / solution
Correct option: A
Total balls = 8.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 4 red and 3 blue balls. P(red) as a fraction is 4/7. The denominator is
Answer / solution
Correct option: A
Total balls = 7.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 5 red and 5 blue balls. P(red) as a fraction is 5/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 6 red and 3 blue balls. P(red) as a fraction is 6/9. The denominator is
Answer / solution
Correct option: A
Total balls = 9.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 7 red and 5 blue balls. P(red) as a fraction is 7/12. The denominator is
Answer / solution
Correct option: B
Total balls = 12.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 3 red and 3 blue balls. P(red) as a fraction is 3/6. The denominator is
Answer / solution
Correct option: B
Total balls = 6.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 4 red and 5 blue balls. P(red) as a fraction is 4/9. The denominator is
Answer / solution
Correct option: B
Total balls = 9.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 5 red and 3 blue balls. P(red) as a fraction is 5/8. The denominator is
Answer / solution
Correct option: C
Total balls = 8.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 6 red and 5 blue balls. P(red) as a fraction is 6/11. The denominator is
Answer / solution
Correct option: B
Total balls = 11.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 7 red and 3 blue balls. P(red) as a fraction is 7/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 3 red and 5 blue balls. P(red) as a fraction is 3/8. The denominator is
Answer / solution
Correct option: A
Total balls = 8.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 4 red and 3 blue balls. P(red) as a fraction is 4/7. The denominator is
Answer / solution
Correct option: A
Total balls = 7.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
A fair die is rolled. P(even number) is
Answer / solution
Correct option: A
2,4,6 → 3/6 = 1/2.
Two fair coins. P(two heads) is
Answer / solution
Correct option: A
HH, HT, TH, TT — one of four.
A bag has 5 red and 5 blue balls. P(red) as a fraction is 5/10. The denominator is
Answer / solution
Correct option: A
Total balls = 10.
A fair coin is tossed. P(head) is
Answer / solution
Correct option: A
Two equally likely faces.
A fair die. P(a number greater than 4) is
Answer / solution
Correct option: A
5 and 6 → 2/6 = 1/3.
FAQs
Are these previous-year SSC questions?
No year or shift is claimed on these pages. Each maths section has 150 original practice MCQs. When a verified source database exists, a question will show exam + year; until then it is practice.
Where are Class 10 board formulas?
The CBSE formula sheet at /cbse/class-10/mathematics/formulas/ stays the canonical board list. This maths hub links to it instead of copying every line.
Do you publish tricks that are only sometimes true?
Every shortcut page states when the trick must not be used. A speed trick that fails on close options is not published as if it were a theorem.
