Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 597 · 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) 1/4 (c) 7/8 (d) 1/8
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
4. 4.A bag has 4 yellow, 4 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/7 (b) 1/3 (c) 11/14 (d) 2/7
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
6. 6.A bag has 3 green, 7 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/17 (b) 10/17 (c) 7/10 (d) 1/3
7. 7.A bag has 3 yellow, 3 green and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/5 (b) 1/3 (c) 1/4 (d) 4/5
8. 8.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 3/4 (d) 1/4
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.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
11. 11.A bag has 2 green, 6 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/10 (b) 1/3 (c) 3/5 (d) 2/5
12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/4
13. 13.A bag has 2 red, 6 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 6/7 (c) 7/13 (d) 6/13
14. 14.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
17. 17.A bag has 2 yellow, 5 green and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/9 (c) 5/14 (d) 9/14
18. 18.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) 1/3 (d) 2/3
19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 3/11 (c) 1/9 (d) 1/11
21. 21.A bag has 9 red, 3 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/15 (b) 1/3 (c) 1/5 (d) 4/5
22. 22.A bag has 6 green, 9 white and 5 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/7 (b) 3/10 (c) 1/3 (d) 7/10
23. 23.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
24. 24.A bag has 8 white, 3 yellow and 9 green 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
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
27. 27.A bag has 4 blue, 7 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/13 (b) 1/3 (c) 4/13 (d) 4/9
28. 28.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
29. 29.A bag has 8 yellow, 6 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 4/11 (c) 7/11 (d) 15/22
30. 30.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
31. 31.A bag has 5 yellow, 4 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 4/15 (c) 4/5 (d) 11/15
32. 32.A bag has 7 white, 3 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/19 (b) 12/19 (c) 7/12 (d) 1/3
33. 33.A bag has 3 green, 2 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 11/13 (c) 10/13 (d) 3/13
34. 34.A bag has 7 blue, 2 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/13 (b) 1/3 (c) 4/13 (d) 10/13
35. 35.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
36. 36.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
38. 38.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
39. 39.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
40. 40.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3

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