Probability Worksheet for Class 8 Maths Olympiad

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

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