Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 237 · 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 number less than 2? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 3/8 (d) 1/8
3. 3.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 7/8 (d) 1/7
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
5. 5.A bag has 9 blue, 5 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/10 (c) 3/7 (d) 7/10
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
7. 7.A bag has 4 blue, 5 green and 4 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/13 (b) 5/8 (c) 1/3 (d) 5/13
8. 8.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
9. 9.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
10. 10.A bag has 9 red, 3 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/5 (b) 1/3 (c) 2/3 (d) 2/5
11. 11.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
12. 12.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
13. 13.A bag has 9 red, 9 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/17 (b) 17/26 (c) 1/3 (d) 9/26
14. 14.A bag has 4 green, 8 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 2/3 (c) 3/5 (d) 2/5
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/11 (d) 1/6
16. 16.A bag has 9 white, 9 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/3 (b) 1/3 (c) 5/8 (d) 3/8
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
18. 18.A bag has 9 green, 8 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/13 (c) 4/9 (d) 4/13
19. 19.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
20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
23. 23.A bag has 3 red, 7 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/14 (c) 5/7 (d) 2/7
24. 24.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) 2/3 (d) 1/4
25. 25.A bag has 9 white, 9 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 6/7 (b) 1/3 (c) 1/7 (d) 19/21
26. 26.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
27. 27.A bag has 7 red, 3 green and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 10/17 (b) 7/10 (c) 7/17 (d) 1/3
28. 28.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
29. 29.A bag has 4 white, 3 green and 2 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/9 (c) 7/9 (d) 2/3
30. 30.A bag has 9 green, 4 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/17 (b) 1/3 (c) 4/13 (d) 13/17
31. 31.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
32. 32.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
34. 34.A bag has 7 red, 8 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 10/17 (b) 7/17 (c) 7/10 (d) 1/3
35. 35.A bag has 2 blue, 2 white and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/11 (c) 11/13 (d) 2/13
36. 36.A bag has 8 yellow, 3 red and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/5 (b) 1/4 (c) 1/3 (d) 1/5
37. 37.A bag has 3 green, 2 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/4 (c) 1/12 (d) 1/4
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
39. 39.A bag has 3 green, 7 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/5 (b) 1/3 (c) 5/6 (d) 1/6
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3

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