Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 433 · 40 questions

How to solve it (Favourable over total): Probability = number of favourable outcomes ÷ total number of equally likely outcomes. List the outcomes: a dice has 6, two coins have 4 (HH, HT, TH, TT), three coins have 8, two dice have 36. Write the answer as a fraction in its lowest terms; a probability is never more than 1.

1. 1.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 3/8 (d) 5/8
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
8. 8.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
10. 10.A bag has 9 yellow, 6 white and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 14/23 (b) 9/14 (c) 9/23 (d) 1/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
12. 12.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
13. 13.A bag has 4 yellow, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/9 (b) 1/3 (c) 9/13 (d) 4/13
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
16. 16.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/8 (d) 1/4
17. 17.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
21. 21.A bag has 5 white, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/12 (b) 1/3 (c) 5/12 (d) 2/3
22. 22.A bag has 9 blue, 7 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 18/25 (b) 1/3 (c) 7/18 (d) 7/25
23. 23.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
24. 24.A bag has 6 green, 6 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 1/3 (c) 13/18 (d) 1/18
25. 25.A bag has 6 red, 7 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/19 (b) 6/13 (c) 1/3 (d) 13/19
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
27. 27.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 3/8 (d) 1/8
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
29. 29.A bag has 9 green, 5 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/17 (b) 1/3 (c) 5/17 (d) 12/17
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
31. 31.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
32. 32.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
33. 33.A bag has 2 yellow, 5 red and 6 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/13 (b) 1/3 (c) 6/7 (d) 6/13
34. 34.A bag has 7 yellow, 9 red and 6 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/22 (b) 15/22 (c) 7/15 (d) 1/3
35. 35.A bag has 7 red, 6 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/21 (b) 1/3 (c) 8/13 (d) 13/21
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
38. 38.A bag has 2 red, 3 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/7 (b) 5/7 (c) 6/7 (d) 1/3
39. 39.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
40. 40.A bag has 9 blue, 6 green and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 6/11 (c) 6/17 (d) 11/17

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