Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 971 · 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 multiple of 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
3. 3.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
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 7/8 (d) 1/4
6. 6.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
7. 7.A bag has 3 blue, 8 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/19 (b) 11/19 (c) 1/3 (d) 8/19
8. 8.A bag has 5 red, 4 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/9 (c) 9/11 (d) 2/11
9. 9.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
10. 10.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
11. 11.A bag has 2 yellow, 5 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/10 (b) 4/5 (c) 1/3 (d) 7/10
12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
13. 13.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
14. 14.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
15. 15.A bag has 7 red, 6 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
17. 17.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
18. 18.A bag has 6 green, 6 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/20 (b) 3/5 (c) 1/3 (d) 2/5
19. 19.A bag has 5 red, 6 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 1/3 (c) 5/16 (d) 11/16
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
22. 22.A bag has 3 green, 8 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/14 (b) 1/3 (c) 6/7 (d) 11/14
23. 23.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
24. 24.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
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
26. 26.A bag has 3 green, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/11 (b) 9/11 (c) 1/3 (d) 8/11
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
28. 28.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
29. 29.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
30. 30.A bag has 6 green, 4 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/12 (b) 2/3 (c) 1/3 (d) 1/2
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
32. 32.A bag has 6 white, 3 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/16 (c) 3/8 (d) 5/8
33. 33.A bag has 3 red, 5 green and 4 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 1/3 (c) 7/12 (d) 5/12
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
36. 36.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
37. 37.A bag has 7 yellow, 2 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/9 (b) 9/13 (c) 1/3 (d) 4/13
38. 38.A bag has 2 blue, 8 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/13 (c) 5/13 (d) 5/8
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
40. 40.A bag has 2 blue, 9 white and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 8/19 (c) 11/19 (d) 8/11

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