Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 348 · 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 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
2. 2.A bag has 2 green, 6 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/15 (b) 1/3 (c) 8/15 (d) 3/5
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
4. 4.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
5. 5.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 7/8 (d) 1/4
6. 6.A bag has 8 white, 4 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/15 (b) 7/15 (c) 1/3 (d) 3/5
7. 7.A bag has 7 white, 5 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/19 (b) 1/3 (c) 7/19 (d) 13/19
8. 8.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 3/8 (d) 1/4
11. 11.A bag has 2 white, 3 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/14 (b) 1/3 (c) 3/14 (d) 3/11
12. 12.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
14. 14.A bag has 4 white, 8 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/2 (c) 9/16 (d) 1/16
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
16. 16.A bag has 2 green, 2 red and 4 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/4 (c) 1/4 (d) 3/8
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
18. 18.A bag has 8 green, 3 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/16 (b) 1/16 (c) 1/3 (d) 1/2
19. 19.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 1/4 (d) 3/8
20. 20.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
21. 21.A bag has 2 yellow, 3 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/11 (b) 11/13 (c) 2/13 (d) 1/3
22. 22.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
23. 23.A bag has 5 green, 7 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/16 (b) 5/8 (c) 1/3 (d) 7/16
24. 24.A bag has 9 yellow, 9 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/2 (b) 10/27 (c) 1/3 (d) 2/3
25. 25.A bag has 7 red, 6 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 2/3 (c) 5/7 (d) 1/21
26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
27. 27.A bag has 6 white, 6 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 2/5 (c) 3/5 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
29. 29.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 1/4 (d) 3/8
30. 30.A bag has 7 white, 9 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/9 (b) 1/3 (c) 8/9 (d) 1/8
31. 31.A bag has 3 red, 6 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/14 (c) 5/9 (d) 5/14
32. 32.A bag has 7 yellow, 3 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 11/16 (c) 1/3 (d) 3/8
33. 33.A bag has 2 green, 9 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/11 (b) 1/3 (c) 3/14 (d) 11/14
34. 34.A bag has 6 white, 8 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 6/17 (b) 1/3 (c) 11/17 (d) 6/11
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
36. 36.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
37. 37.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
39. 39.A bag has 6 white, 4 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/15 (b) 4/11 (c) 1/3 (d) 11/15
40. 40.A bag has 2 white, 4 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/5 (c) 2/3 (d) 2/5

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