Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 43 · 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 factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
2. 2.A bag has 2 blue, 5 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/10 (b) 4/5 (c) 1/3 (d) 1/5
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
4. 4.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
5. 5.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/12 (d) 1/18
7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
9. 9.A bag has 9 yellow, 8 red and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/5 (b) 1/3 (c) 3/8 (d) 5/8
10. 10.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
11. 11.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
13. 13.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
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
16. 16.A bag has 6 green, 7 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 17/22 (b) 1/3 (c) 8/11 (d) 3/11
17. 17.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
18. 18.A bag has 5 red, 3 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/15 (b) 1/15 (c) 1/3 (d) 2/3
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 5/36 (c) 4/11 (d) 1/11
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
21. 21.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
22. 22.A bag has 7 green, 2 red and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/14 (b) 1/2 (c) 1/3 (d) 4/7
23. 23.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
24. 24.A bag has 5 red, 2 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/5 (c) 8/15 (d) 7/15
25. 25.A bag has 3 red, 2 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/14 (b) 5/7 (c) 5/14 (d) 1/3
26. 26.A bag has 6 blue, 8 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/19 (b) 1/3 (c) 12/19 (d) 11/19
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
29. 29.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/8 (d) 3/5
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 7/36 (d) 1/11
31. 31.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
32. 32.A bag has 4 white, 3 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 4/7 (c) 1/2 (d) 1/14
33. 33.A bag has 5 red, 7 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 16/21 (c) 5/21 (d) 17/21
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
35. 35.A bag has 5 red, 9 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/14 (c) 14/17 (d) 3/17
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
37. 37.A bag has 9 yellow, 6 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/13 (b) 1/3 (c) 6/19 (d) 13/19
38. 38.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
39. 39.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11

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