Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 192 · 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 9? (a) 5/36 (b) 4/11 (c) 1/11 (d) 1/9
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
3. 3.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
4. 4.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
6. 6.A bag has 8 yellow, 8 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 8/21 (b) 13/21 (c) 2/3 (d) 1/3
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
9. 9.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
13. 13.A bag has 5 red, 2 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/9 (b) 1/3 (c) 2/7 (d) 2/9
14. 14.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
15. 15.A bag has 2 blue, 6 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/11 (b) 1/3 (c) 2/13 (d) 11/13
16. 16.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 6/11 (d) 7/36
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
19. 19.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
21. 21.A bag has 3 green, 2 white and 7 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
22. 22.A bag has 8 yellow, 2 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/7 (b) 1/3 (c) 1/7 (d) 13/14
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
25. 25.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
26. 26.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
27. 27.A bag has 4 red, 6 white and 8 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/7 (b) 7/9 (c) 1/3 (d) 2/9
28. 28.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) 3/8 (d) 1/4
29. 29.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
30. 30.A bag has 9 white, 4 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/16 (b) 7/16 (c) 1/3 (d) 5/8
31. 31.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
32. 32.A bag has 9 red, 6 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/8 (c) 2/3 (d) 5/8
33. 33.A bag has 2 blue, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/10 (b) 1/3 (c) 4/5 (d) 1/5
34. 34.A bag has 6 red, 7 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 14/19 (c) 6/19 (d) 13/19
35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 5/8 (d) 3/5
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
37. 37.A bag has 9 green, 5 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/17 (b) 12/17 (c) 1/3 (d) 5/12
38. 38.A bag has 5 red, 2 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/11 (b) 1/3 (c) 6/11 (d) 7/11
39. 39.A bag has 7 yellow, 7 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/18 (b) 1/3 (c) 7/11 (d) 7/18
40. 40.A bag has 8 green, 4 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 1/3 (c) 5/16 (d) 1/4

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