Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 508 · 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.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
2. 2.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
3. 3.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
4. 4.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
5. 5.A bag has 6 white, 7 green and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/13 (b) 8/21 (c) 1/3 (d) 13/21
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
7. 7.A bag has 2 blue, 2 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/7 (b) 3/7 (c) 1/3 (d) 5/7
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
13. 13.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
14. 14.A bag has 2 blue, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/9 (b) 8/9 (c) 1/3 (d) 7/9
15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
18. 18.A bag has 4 red, 9 white and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/16 (b) 1/3 (c) 1/4 (d) 3/4
19. 19.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
20. 20.A bag has 8 red, 4 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/2 (c) 1/16 (d) 9/16
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
22. 22.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 7/8 (d) 1/7
23. 23.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 3/5 (d) 5/8
24. 24.A bag has 6 green, 7 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
25. 25.A bag has 4 yellow, 3 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/7 (b) 7/9 (c) 2/9 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
28. 28.A bag has 8 green, 5 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/9 (b) 4/9 (c) 1/3 (d) 11/18
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
30. 30.A bag has 5 white, 8 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 2/5 (c) 1/3 (d) 2/3
31. 31.A bag has 3 red, 4 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/16 (b) 1/3 (c) 5/8 (d) 7/16
32. 32.A bag has 4 green, 5 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/13 (b) 1/3 (c) 9/13 (d) 4/9
33. 33.A bag has 2 blue, 8 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/9 (b) 17/18 (c) 1/3 (d) 8/9
34. 34.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/11 (c) 1/6 (d) 6/11
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
37. 37.A bag has 3 green, 8 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/11 (c) 8/19 (d) 11/19
38. 38.A bag has 2 white, 9 red and 8 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 17/19 (b) 18/19 (c) 2/19 (d) 1/3
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3

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