Probability Worksheet for Class 8 Maths Olympiad

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

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