Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 153 · 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 dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 3/8 (d) 1/8
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
4. 4.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
5. 5.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
6. 6.A bag has 4 white, 7 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/20 (b) 7/10 (c) 7/20 (d) 1/3
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
9. 9.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
10. 10.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
11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 7/36 (d) 1/11
13. 13.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
14. 14.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
15. 15.A bag has 9 green, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 4/11 (c) 7/11 (d) 15/22
16. 16.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
17. 17.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
18. 18.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
21. 21.A bag has 6 green, 5 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/4 (b) 4/7 (c) 1/3 (d) 3/7
22. 22.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
23. 23.A bag has 7 green, 9 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/18 (b) 1/3 (c) 11/18 (d) 7/11
24. 24.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 1/4 (d) 3/5
25. 25.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
27. 27.A bag has 5 red, 5 green and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
29. 29.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
30. 30.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 3/8 (d) 1/4
31. 31.A bag has 6 red, 8 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 6/23 (c) 17/23 (d) 6/17
32. 32.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
33. 33.A bag has 9 red, 2 green and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/11 (b) 3/14 (c) 11/14 (d) 1/3
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
36. 36.A bag has 2 blue, 3 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/7 (c) 6/7 (d) 1/6
37. 37.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
38. 38.A bag has 7 white, 5 red and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 16/21 (c) 5/16 (d) 5/21
39. 39.A bag has 3 red, 4 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/11 (c) 8/11 (d) 3/11
40. 40.A bag has 3 red, 2 green and 5 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/10 (c) 7/10 (d) 3/7

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