Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 120 · 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.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
3. 3.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
4. 4.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 1/4 (d) 5/8
5. 5.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
6. 6.A bag has 7 green, 9 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 9/25 (c) 17/25 (d) 16/25
7. 7.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
9. 9.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
11. 11.A bag has 6 yellow, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/18 (b) 2/3 (c) 1/3 (d) 13/18
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
13. 13.A bag has 5 blue, 8 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/9 (b) 5/9 (c) 1/3 (d) 11/18
14. 14.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
15. 15.A bag has 2 white, 2 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/13 (b) 4/9 (c) 1/3 (d) 4/13
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
17. 17.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
18. 18.A bag has 3 green, 2 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/7 (b) 13/14 (c) 1/7 (d) 1/3
19. 19.A bag has 6 red, 8 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/19 (b) 5/14 (c) 14/19 (d) 1/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
21. 21.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
23. 23.A bag has 4 yellow, 3 red and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 1/3 (c) 1/4 (d) 5/16
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
26. 26.A bag has 3 green, 7 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 15/17 (c) 3/17 (d) 14/17
27. 27.A bag has 4 red, 8 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/15 (b) 7/8 (c) 8/15 (d) 1/3
28. 28.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/8 (d) 1/7
29. 29.A bag has 6 blue, 3 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/8 (c) 8/11 (d) 3/11
30. 30.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
31. 31.A bag has 8 red, 3 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/11 (b) 1/3 (c) 11/18 (d) 7/18
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
33. 33.A bag has 4 yellow, 7 white and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/18 (b) 1/3 (c) 11/18 (d) 7/11
34. 34.A bag has 2 red, 2 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/9 (c) 2/7 (d) 2/9
35. 35.A bag has 8 green, 4 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/17 (b) 12/17 (c) 1/3 (d) 5/17
36. 36.A bag has 3 red, 9 green and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 7/36 (d) 1/6
38. 38.A bag has 3 red, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/11 (b) 8/11 (c) 3/8 (d) 1/3
39. 39.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 3/4 (d) 1/8
40. 40.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8

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