Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 350 · 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 8? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
4. 4.A bag has 7 blue, 3 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/14 (b) 1/3 (c) 6/7 (d) 11/14
5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
6. 6.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 1/4 (d) 7/8
7. 7.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
8. 8.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
9. 9.A bag has 8 white, 6 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/9 (b) 1/3 (c) 7/9 (d) 2/7
10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
12. 12.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 1/4 (d) 3/8
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
14. 14.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
15. 15.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
16. 16.A bag has 2 yellow, 6 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/14 (b) 4/7 (c) 1/3 (d) 3/7
17. 17.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
18. 18.A bag has 5 yellow, 6 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 8/13 (c) 7/13 (d) 6/13
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
22. 22.A bag has 7 green, 8 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 16/23 (b) 17/23 (c) 1/3 (d) 7/23
23. 23.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
24. 24.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
25. 25.A bag has 6 red, 3 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 2/3 (c) 3/5 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
28. 28.A bag has 4 blue, 3 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/13 (c) 10/13 (d) 3/10
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
30. 30.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
31. 31.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
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
34. 34.A bag has 3 yellow, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/15 (b) 4/5 (c) 1/3 (d) 1/5
35. 35.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
36. 36.A bag has 6 yellow, 4 white and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/12 (b) 1/2 (c) 1/12 (d) 1/3
37. 37.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
38. 38.A bag has 6 yellow, 7 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 12/17 (c) 6/17 (d) 11/17
39. 39.A bag has 2 white, 9 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/15 (b) 2/15 (c) 14/15 (d) 1/3
40. 40.A bag has 5 white, 8 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 14/19 (b) 13/19 (c) 6/19 (d) 1/3

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