Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 779 · 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.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 7/8 (d) 1/4
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 3/11 (d) 1/9
4. 4.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
6. 6.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
8. 8.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
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
11. 11.A bag has 3 red, 6 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/16 (c) 3/13 (d) 13/16
12. 12.A bag has 3 green, 2 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/13 (b) 1/3 (c) 2/13 (d) 11/13
13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
14. 14.A bag has 5 red, 3 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/11 (c) 3/14 (d) 11/14
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
18. 18.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
19. 19.A bag has 2 green, 8 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/5 (b) 1/3 (c) 3/8 (d) 5/8
20. 20.A bag has 3 blue, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/5 (b) 13/15 (c) 1/3 (d) 4/5
21. 21.A bag has 7 yellow, 6 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 13/18 (c) 1/18 (d) 1/3
22. 22.A bag has 8 red, 8 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/5 (b) 17/20 (c) 1/3 (d) 1/5
23. 23.A bag has 3 yellow, 3 white and 3 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 2/3 (c) 1/3 (d) 4/9
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
26. 26.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/5 (d) 3/8
27. 27.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
28. 28.A bag has 5 blue, 4 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/11 (b) 9/11 (c) 1/3 (d) 10/11
29. 29.A bag has 3 yellow, 9 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/14 (b) 1/3 (c) 11/14 (d) 6/7
30. 30.A bag has 3 blue, 9 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/20 (b) 1/3 (c) 11/20 (d) 9/11
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.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
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
34. 34.A bag has 3 red, 4 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 2/5 (c) 1/3 (d) 2/3
35. 35.A bag has 9 red, 6 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/7 (b) 1/3 (c) 13/21 (d) 3/7
36. 36.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
39. 39.A bag has 5 red, 8 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/17 (b) 1/3 (c) 14/17 (d) 4/17
40. 40.A bag has 4 yellow, 8 white and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/9 (b) 2/9 (c) 1/3 (d) 2/7

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