Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 691 · 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 5? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
2. 2.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/5 (d) 3/8
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
4. 4.A bag has 6 red, 2 green and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/17 (b) 6/11 (c) 1/3 (d) 6/17
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
6. 6.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
7. 7.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
8. 8.A bag has 2 red, 5 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/11 (b) 1/3 (c) 5/6 (d) 6/11
9. 9.A bag has 3 red, 8 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/20 (c) 17/20 (d) 9/10
10. 10.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
11. 11.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
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 7/36 (d) 1/11
13. 13.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/7 (d) 1/8
14. 14.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
15. 15.A bag has 9 green, 9 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/26 (b) 17/26 (c) 9/17 (d) 1/3
16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/3 (d) 1/5
19. 19.A bag has 2 white, 4 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/8 (b) 1/3 (c) 5/8 (d) 1/2
20. 20.A bag has 5 blue, 3 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/14 (c) 11/14 (d) 3/11
21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
22. 22.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/4 (d) 1/3
23. 23.A bag has 3 yellow, 5 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 8/11 (c) 3/8 (d) 3/11
24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
25. 25.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/3 (c) 1/6 (d) 5/6
26. 26.A bag has 2 red, 2 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/7 (c) 3/4 (d) 4/7
27. 27.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
31. 31.A bag has 5 white, 5 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/5 (c) 5/7 (d) 2/7
32. 32.A bag has 6 blue, 2 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/15 (c) 2/17 (d) 15/17
33. 33.A bag has 3 red, 8 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/13 (b) 1/3 (c) 5/13 (d) 5/8
34. 34.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
35. 35.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
36. 36.A bag has 3 white, 9 red and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 1/3 (c) 1/5 (d) 4/5
37. 37.A bag has 8 white, 2 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 11/13 (c) 2/11 (d) 2/13
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
39. 39.A bag has 9 blue, 2 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/9 (c) 9/10 (d) 1/10
40. 40.A bag has 7 green, 8 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/18 (b) 2/3 (c) 11/18 (d) 1/3

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