Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 202 · 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 even number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
4. 4.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 1/4 (d) 7/8
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
6. 6.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/8
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
8. 8.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
11. 11.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
13. 13.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 1/5 (d) 5/6
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
16. 16.A bag has 2 red, 2 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 1/11 (d) 7/36
18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
20. 20.A bag has 2 red, 5 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/7 (b) 1/7 (c) 1/3 (d) 1/6
21. 21.A bag has 3 red, 4 white and 7 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/14 (b) 1/3 (c) 3/14 (d) 6/7
22. 22.A bag has 9 white, 7 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/25 (b) 1/3 (c) 17/25 (d) 16/25
23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
24. 24.A bag has 9 blue, 5 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/21 (b) 1/3 (c) 5/16 (d) 16/21
25. 25.A bag has 4 green, 5 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/9 (b) 9/13 (c) 1/3 (d) 4/13
26. 26.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
27. 27.A bag has 6 green, 9 red and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/15 (b) 15/23 (c) 8/23 (d) 1/3
28. 28.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 1/8 (d) 7/8
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
30. 30.A bag has 8 green, 3 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/20 (b) 9/20 (c) 3/5 (d) 1/3
31. 31.A bag has 7 white, 5 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/4 (c) 1/4 (d) 5/16
32. 32.A bag has 4 yellow, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 1/3 (c) 5/16 (d) 1/4
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
34. 34.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 3/8 (d) 5/8
35. 35.A bag has 6 yellow, 7 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/17 (b) 12/17 (c) 11/17 (d) 1/3
36. 36.A bag has 4 yellow, 6 red and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/14 (b) 5/7 (c) 1/3 (d) 2/7
37. 37.A bag has 8 red, 5 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/15 (b) 1/3 (c) 11/15 (d) 2/3
38. 38.A bag has 5 green, 4 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/15 (b) 1/3 (c) 4/15 (d) 4/11
39. 39.A bag has 7 white, 9 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/16 (b) 7/23 (c) 1/3 (d) 16/23
40. 40.A bag has 4 red, 3 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/16 (b) 7/16 (c) 1/3 (d) 5/8

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