Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 360 · 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 an odd number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
2. 2.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
3. 3.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
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
6. 6.A bag has 4 yellow, 7 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/17 (b) 4/17 (c) 1/3 (d) 14/17
7. 7.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
8. 8.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
9. 9.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
10. 10.A bag has 5 yellow, 9 green and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 1/3 (c) 1/4 (d) 3/10
11. 11.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
12. 12.A bag has 2 white, 9 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/9 (c) 9/13 (d) 4/13
13. 13.A bag has 5 green, 8 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 13/21 (c) 8/21 (d) 2/3
14. 14.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 3/8 (d) 1/4
15. 15.A bag has 9 red, 9 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 19/23 (b) 5/23 (c) 1/3 (d) 18/23
16. 16.A bag has 7 red, 4 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/15 (b) 1/3 (c) 7/8 (d) 8/15
17. 17.A bag has 6 red, 8 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 17/22 (b) 3/11 (c) 8/11 (d) 1/3
18. 18.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
19. 19.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
22. 22.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
23. 23.A bag has 3 blue, 4 green and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/10 (b) 3/7 (c) 1/3 (d) 7/10
24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
25. 25.A bag has 9 white, 7 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 16/19 (b) 3/16 (c) 3/19 (d) 1/3
26. 26.A bag has 6 white, 7 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/17 (b) 1/3 (c) 7/17 (d) 7/10
27. 27.A bag has 2 yellow, 7 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 7/17 (c) 10/17 (d) 11/17
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
30. 30.A bag has 7 blue, 3 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/12 (c) 1/4 (d) 3/4
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
34. 34.A bag has 3 red, 3 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/5 (b) 1/3 (c) 7/10 (d) 3/10
35. 35.A bag has 5 green, 9 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/18 (b) 13/18 (c) 1/3 (d) 7/9
36. 36.A bag has 7 red, 7 green and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/2 (c) 8/21 (d) 2/3
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
38. 38.A bag has 3 white, 7 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/19 (c) 10/19 (d) 9/19
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36

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