Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 405 · 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) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
3. 3.A bag has 5 blue, 3 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/12 (b) 12/17 (c) 5/17 (d) 1/3
4. 4.A bag has 9 green, 4 red and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 6/19 (b) 13/19 (c) 1/3 (d) 6/13
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
6. 6.A bag has 3 red, 8 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/9 (b) 1/3 (c) 11/18 (d) 4/9
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
8. 8.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/5 (d) 3/8
10. 10.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/4 (c) 1/3 (d) 5/6
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
12. 12.A bag has 4 green, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/14 (b) 1/3 (c) 4/7 (d) 1/2
13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
14. 14.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
15. 15.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
17. 17.A bag has 3 green, 8 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 17/19 (c) 3/19 (d) 16/19
18. 18.A bag has 2 blue, 6 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/11 (b) 1/3 (c) 8/11 (d) 9/11
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
20. 20.A bag has 2 yellow, 7 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 14/15 (b) 13/15 (c) 2/15 (d) 1/3
21. 21.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) 1/3 (d) 1/2
22. 22.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 3/8 (d) 1/4
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
24. 24.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
25. 25.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
26. 26.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
28. 28.A bag has 2 blue, 5 green and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/4 (b) 1/3 (c) 1/5 (d) 4/5
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
30. 30.A bag has 9 white, 6 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/17 (b) 6/11 (c) 1/3 (d) 6/17
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 7/36 (d) 1/6
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 1/11 (d) 5/11
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
34. 34.A bag has 4 green, 2 white and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/4 (c) 3/8 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
36. 36.A bag has 2 blue, 2 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/5 (b) 9/10 (c) 1/3 (d) 4/5
37. 37.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
38. 38.A bag has 4 red, 6 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/10 (b) 1/3 (c) 10/19 (d) 9/19
39. 39.A bag has 3 red, 6 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/8 (c) 8/11 (d) 3/11
40. 40.A bag has 2 yellow, 8 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 15/16 (b) 7/8 (c) 1/3 (d) 1/8

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