Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 151 · 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 bag has 3 white, 5 green and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/8 (c) 3/11 (d) 8/11
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
3. 3.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
4. 4.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
5. 5.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
6. 6.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
7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 1/11 (d) 7/36
9. 9.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
10. 10.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
11. 11.A bag has 3 blue, 8 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/13 (c) 8/13 (d) 5/8
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
13. 13.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
17. 17.A bag has 6 red, 3 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/14 (b) 1/3 (c) 5/7 (d) 5/14
18. 18.A bag has 3 blue, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/5 (c) 2/5 (d) 2/3
19. 19.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
20. 20.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
21. 21.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 5/8 (d) 3/8
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
23. 23.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 1/7 (d) 7/8
24. 24.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
25. 25.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
26. 26.A bag has 2 red, 8 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/7 (c) 3/4 (d) 3/7
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
28. 28.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/4 (d) 1/8
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
30. 30.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 1/4 (d) 3/4
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
32. 32.A bag has 2 green, 5 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/9 (b) 1/3 (c) 8/9 (d) 7/9
33. 33.A bag has 3 yellow, 7 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 16/19 (c) 17/19 (d) 3/19
34. 34.A bag has 2 blue, 4 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 6/13 (c) 7/13 (d) 8/13
35. 35.A bag has 8 red, 4 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/18 (b) 1/3 (c) 4/9 (d) 5/9
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 1/11 (d) 2/11
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
38. 38.A bag has 3 red, 9 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 16/19 (b) 3/16 (c) 3/19 (d) 1/3
39. 39.A bag has 8 yellow, 4 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/9 (b) 1/3 (c) 2/7 (d) 7/9
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11

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