Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 566 · 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.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
2. 2.A bag has 9 yellow, 7 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 17/22 (b) 8/11 (c) 3/11 (d) 1/3
3. 3.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
5. 5.A bag has 5 red, 8 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/5 (b) 3/4 (c) 1/3 (d) 1/4
6. 6.A bag has 8 blue, 8 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 17/21 (b) 16/21 (c) 5/21 (d) 1/3
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
9. 9.A bag has 5 yellow, 5 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 13/18 (c) 5/18 (d) 7/9
10. 10.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
12. 12.A bag has 3 white, 2 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/11 (b) 11/13 (c) 1/3 (d) 2/13
13. 13.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
14. 14.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
15. 15.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
17. 17.A bag has 8 yellow, 8 green and 8 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/24 (c) 2/3 (d) 17/24
18. 18.A bag has 4 red, 6 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/15 (b) 2/3 (c) 1/3 (d) 11/15
19. 19.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
20. 20.A bag has 7 white, 3 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/10 (b) 1/3 (c) 10/17 (d) 7/17
21. 21.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
22. 22.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/11 (d) 1/12
25. 25.A bag has 6 blue, 5 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/13 (c) 5/13 (d) 5/8
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 6/11 (d) 7/36
27. 27.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
29. 29.A bag has 6 white, 9 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 1/3 (c) 7/24 (d) 1/4
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
32. 32.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 5/8 (d) 1/4
33. 33.A bag has 2 yellow, 3 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/7 (b) 7/10 (c) 1/3 (d) 3/10
34. 34.A bag has 4 green, 3 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/5 (b) 1/3 (c) 7/10 (d) 3/5
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
36. 36.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/7 (d) 1/8
37. 37.A bag has 4 blue, 3 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 11/14 (c) 5/7 (d) 2/7
38. 38.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) 1/8 (d) 3/4
39. 39.A bag has 3 green, 7 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/12 (b) 7/12 (c) 1/3 (d) 2/3
40. 40.A bag has 4 blue, 3 green and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/15 (b) 7/15 (c) 3/5 (d) 1/3

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