Probability Worksheet for Class 8 Maths Olympiad

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

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