Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 460 · 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) 5/8 (b) 3/5 (c) 1/4 (d) 3/8
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 3/11 (c) 1/9 (d) 1/11
3. 3.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
4. 4.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
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
6. 6.A bag has 6 yellow, 7 red and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/16 (b) 3/13 (c) 1/3 (d) 3/16
7. 7.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
8. 8.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
9. 9.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
10. 10.A bag has 7 green, 4 white and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 5/16 (c) 1/4 (d) 1/3
11. 11.A bag has 4 green, 8 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 4/5 (c) 17/20 (d) 1/5
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
13. 13.A bag has 9 red, 7 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 12/19 (b) 7/19 (c) 1/3 (d) 13/19
14. 14.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
16. 16.A bag has 6 blue, 6 green and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/17 (b) 1/3 (c) 13/17 (d) 5/17
17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
19. 19.A bag has 6 white, 2 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 11/17 (b) 1/3 (c) 12/17 (d) 6/17
20. 20.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
22. 22.A bag has 9 red, 4 white and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/8 (b) 1/3 (c) 13/16 (d) 3/16
23. 23.A bag has 5 yellow, 5 white and 3 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/13 (b) 8/13 (c) 5/8 (d) 1/3
24. 24.A bag has 3 red, 3 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 5/8 (c) 3/8 (d) 1/3
25. 25.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
26. 26.A bag has 3 yellow, 2 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/13 (b) 9/13 (c) 1/3 (d) 8/13
27. 27.A bag has 7 yellow, 7 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/10 (b) 13/20 (c) 7/20 (d) 1/3
28. 28.A bag has 8 yellow, 6 red and 4 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 5/9 (c) 4/9 (d) 1/3
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
30. 30.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
32. 32.A bag has 2 green, 6 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 7/10 (c) 1/3 (d) 3/5
33. 33.A bag has 2 blue, 9 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 1/3 (c) 11/20 (d) 9/20
34. 34.A bag has 2 red, 3 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/10 (b) 3/13 (c) 10/13 (d) 1/3
35. 35.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
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
37. 37.A bag has 8 yellow, 3 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/16 (b) 13/16 (c) 1/3 (d) 7/8
38. 38.A bag has 7 white, 8 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 11/18 (c) 7/11 (d) 7/18
39. 39.A bag has 7 red, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/15 (c) 7/15 (d) 3/5
40. 40.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 1/4 (d) 3/4

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