Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 688 · 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 2? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
4. 4.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 1/8 (d) 3/8
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
6. 6.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
7. 7.A bag has 6 blue, 3 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/10 (b) 3/13 (c) 1/3 (d) 10/13
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
9. 9.A bag has 2 red, 9 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/10 (b) 10/19 (c) 1/3 (d) 9/19
10. 10.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
12. 12.A bag has 4 green, 9 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 10/19 (b) 9/19 (c) 1/3 (d) 11/19
13. 13.A bag has 2 yellow, 9 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/5 (b) 2/3 (c) 3/5 (d) 1/3
14. 14.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
16. 16.A bag has 4 blue, 8 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/7 (b) 6/7 (c) 13/14 (d) 1/3
17. 17.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
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
19. 19.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
21. 21.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
22. 22.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
24. 24.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
26. 26.A bag has 8 yellow, 3 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/5 (b) 9/20 (c) 1/3 (d) 11/20
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
28. 28.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
30. 30.A bag has 8 red, 9 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/17 (c) 3/20 (d) 17/20
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
32. 32.A bag has 2 yellow, 7 green and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/8 (b) 7/8 (c) 1/7 (d) 1/3
33. 33.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/8 (d) 1/4
34. 34.A bag has 7 blue, 8 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/23 (b) 15/23 (c) 16/23 (d) 1/3
35. 35.A bag has 5 blue, 6 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/18 (b) 7/18 (c) 7/11 (d) 1/3
36. 36.A bag has 2 blue, 7 green and 7 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/8 (b) 1/3 (c) 1/7 (d) 1/8
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/5 (d) 1/3
39. 39.A bag has 7 yellow, 6 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/22 (b) 9/22 (c) 7/11 (d) 1/3
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4

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