Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 55 · 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) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
3. 3.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
7. 7.A bag has 4 blue, 7 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/14 (b) 1/2 (c) 1/3 (d) 4/7
8. 8.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
10. 10.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
11. 11.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
12. 12.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
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 1/11 (d) 6/11
14. 14.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) 2/3 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
16. 16.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
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) 1/11 (d) 1/12
18. 18.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
19. 19.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 1/4 (d) 7/8
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
21. 21.A bag has 7 blue, 5 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/21 (b) 5/7 (c) 2/3 (d) 1/3
22. 22.A bag has 5 green, 6 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 12/17 (b) 13/17 (c) 5/17 (d) 1/3
23. 23.A bag has 2 green, 4 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/15 (c) 11/15 (d) 4/11
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
25. 25.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
26. 26.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
27. 27.A bag has 4 white, 5 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 3/5 (c) 2/3 (d) 1/3
28. 28.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
29. 29.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
32. 32.A bag has 2 red, 6 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 6/13 (b) 7/13 (c) 8/13 (d) 1/3
33. 33.A bag has 5 yellow, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/7 (b) 1/3 (c) 3/4 (d) 3/7
34. 34.A bag has 8 white, 5 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/17 (c) 12/17 (d) 5/12
35. 35.A bag has 2 green, 2 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/11 (b) 2/13 (c) 1/3 (d) 11/13
36. 36.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
38. 38.A bag has 5 red, 3 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/9 (b) 9/14 (c) 1/3 (d) 5/14
39. 39.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
40. 40.A bag has 2 blue, 9 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/10 (b) 1/3 (c) 1/9 (d) 1/10

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