Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 57 · 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 5? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
3. 3.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
7. 7.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 7/8 (d) 1/7
8. 8.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
9. 9.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
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
11. 11.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/5 (d) 3/8
12. 12.A bag has 7 blue, 8 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 17/24 (b) 2/3 (c) 1/3 (d) 1/24
13. 13.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 1/4 (c) 3/4 (d) 3/8
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 7/36 (d) 6/11
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
16. 16.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
17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
18. 18.A bag has 4 blue, 6 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/13 (b) 1/3 (c) 7/13 (d) 6/13
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 dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
21. 21.A bag has 5 blue, 3 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/14 (b) 3/11 (c) 1/3 (d) 3/14
22. 22.A bag has 2 yellow, 8 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/13 (b) 10/13 (c) 1/3 (d) 3/13
23. 23.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
24. 24.A bag has 2 blue, 4 green and 4 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/5 (c) 3/5 (d) 7/10
25. 25.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
26. 26.A bag has 4 yellow, 7 green and 6 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/17 (b) 4/17 (c) 4/13 (d) 1/3
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
28. 28.A bag has 3 red, 2 white and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/7 (b) 1/3 (c) 3/7 (d) 3/4
29. 29.A bag has 3 blue, 6 green and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/13 (b) 1/3 (c) 4/9 (d) 4/13
30. 30.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
31. 31.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
32. 32.A bag has 3 red, 4 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/3 (b) 5/12 (c) 1/2 (d) 1/3
33. 33.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
34. 34.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
35. 35.A bag has 7 yellow, 8 red and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/15 (b) 1/3 (c) 15/17 (d) 2/17
36. 36.A bag has 4 red, 2 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/13 (b) 8/13 (c) 7/13 (d) 1/3
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
38. 38.A bag has 9 blue, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/7 (b) 3/7 (c) 13/21 (d) 1/3
39. 39.A bag has 7 green, 7 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/17 (b) 11/17 (c) 1/3 (d) 10/17
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6

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