Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 109 · 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) 2/3 (c) 1/3 (d) 1/6
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
3. 3.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
4. 4.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
5. 5.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
7. 7.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
8. 8.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
9. 9.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
10. 10.A bag has 4 green, 7 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 15/19 (b) 1/3 (c) 4/15 (d) 4/19
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
12. 12.A bag has 6 green, 8 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/16 (b) 9/16 (c) 1/3 (d) 1/2
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
14. 14.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
16. 16.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
17. 17.A bag has 7 red, 8 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/4 (b) 1/3 (c) 3/4 (d) 3/10
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
19. 19.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
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
21. 21.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
22. 22.A bag has 2 green, 9 red and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/5 (b) 1/3 (c) 11/15 (d) 4/15
23. 23.A bag has 5 red, 4 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/9 (b) 1/18 (c) 1/3 (d) 1/2
24. 24.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
25. 25.A bag has 2 red, 7 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/11 (b) 4/11 (c) 1/3 (d) 8/11
26. 26.A bag has 4 yellow, 6 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 15/19 (b) 4/19 (c) 4/15 (d) 1/3
27. 27.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
29. 29.A bag has 7 red, 5 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 13/20 (c) 7/20 (d) 7/13
30. 30.A bag has 9 green, 7 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/22 (b) 9/13 (c) 1/3 (d) 13/22
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
32. 32.A bag has 5 blue, 4 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 1/3 (c) 5/7 (d) 5/14
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
34. 34.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/4 (d) 3/8
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 7/36 (d) 1/11
36. 36.A bag has 4 red, 3 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/16 (b) 1/4 (c) 3/4 (d) 1/3
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
38. 38.A bag has 7 green, 2 white and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/9 (b) 1/3 (c) 9/11 (d) 2/11
39. 39.A bag has 3 green, 9 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/7 (b) 1/6 (c) 1/3 (d) 6/7
40. 40.A bag has 2 red, 2 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/3

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