Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 532 · 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) 5/11 (c) 1/11 (d) 1/6
2. 2.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
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
5. 5.A bag has 5 green, 8 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 7/11 (c) 9/22 (d) 13/22
6. 6.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
7. 7.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
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.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
12. 12.A bag has 7 red, 8 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/23 (b) 16/23 (c) 7/16 (d) 1/3
13. 13.A bag has 3 green, 9 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/16 (b) 7/8 (c) 1/3 (d) 3/16
14. 14.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
15. 15.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
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
17. 17.A bag has 5 yellow, 5 green and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/12 (c) 5/7 (d) 7/12
18. 18.A bag has 8 yellow, 4 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/17 (b) 12/17 (c) 1/3 (d) 5/12
19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
21. 21.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
23. 23.A bag has 8 yellow, 7 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/19 (b) 1/3 (c) 11/19 (d) 8/11
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
25. 25.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/4 (c) 1/8 (d) 3/8
26. 26.A bag has 9 green, 3 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/21 (b) 3/7 (c) 1/3 (d) 4/7
27. 27.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
28. 28.A bag has 8 green, 3 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 11/18 (c) 4/9 (d) 5/9
29. 29.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
31. 31.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
32. 32.A bag has 2 blue, 4 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/5 (b) 4/15 (c) 11/15 (d) 1/3
33. 33.A bag has 8 white, 6 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/5 (b) 3/5 (c) 1/3 (d) 13/20
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.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
36. 36.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
38. 38.A bag has 2 white, 7 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/7 (c) 7/8 (d) 1/8
39. 39.A bag has 5 yellow, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 10/17 (b) 1/3 (c) 9/17 (d) 8/17
40. 40.A bag has 8 red, 9 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/23 (b) 17/23 (c) 18/23 (d) 1/3

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