Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 276 · 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 and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
4. 4.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
5. 5.A bag has 2 red, 6 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/4 (c) 1/5 (d) 1/3
6. 6.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
7. 7.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
9. 9.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
13. 13.A bag has 2 yellow, 9 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/9 (b) 1/3 (c) 9/17 (d) 8/17
14. 14.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/4 (d) 1/2
15. 15.A bag has 7 green, 2 red and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/2 (c) 1/18 (d) 5/9
16. 16.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
17. 17.A bag has 9 yellow, 8 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/20 (b) 1/3 (c) 3/5 (d) 9/20
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
20. 20.A bag has 2 blue, 5 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/7 (c) 9/14 (d) 5/14
21. 21.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
22. 22.A bag has 8 blue, 9 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 18/19 (b) 1/3 (c) 17/19 (d) 2/19
23. 23.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
24. 24.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
25. 25.A bag has 5 blue, 5 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/13 (b) 5/13 (c) 1/3 (d) 5/8
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
27. 27.A bag has 4 green, 3 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/12 (c) 3/4 (d) 2/3
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
29. 29.A bag has 2 white, 3 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/13 (b) 2/11 (c) 1/3 (d) 11/13
30. 30.A bag has 5 red, 6 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/13 (b) 1/3 (c) 6/19 (d) 13/19
31. 31.A bag has 4 green, 9 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/16 (c) 7/9 (d) 7/16
32. 32.A bag has 5 yellow, 8 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/15 (b) 2/13 (c) 1/3 (d) 13/15
33. 33.A bag has 3 red, 9 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/17 (b) 1/3 (c) 9/17 (d) 10/17
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
35. 35.A bag has 8 white, 6 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/8 (b) 3/5 (c) 1/3 (d) 3/8
36. 36.A bag has 5 green, 5 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/17 (b) 13/17 (c) 1/3 (d) 12/17
37. 37.A bag has 6 green, 8 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 17/23 (c) 6/23 (d) 6/17
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 3/11 (c) 1/9 (d) 1/11

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