Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 131 · 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 a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
2. 2.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
3. 3.A bag has 9 red, 7 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 7/13 (c) 13/20 (d) 7/20
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
5. 5.A bag has 3 white, 5 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 15/17 (b) 3/17 (c) 14/17 (d) 1/3
6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 5/8 (d) 3/8
7. 7.A bag has 7 blue, 9 red and 8 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 1/3 (c) 7/24 (d) 17/24
8. 8.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
11. 11.A bag has 2 yellow, 7 red and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/11 (b) 1/3 (c) 2/9 (d) 2/11
12. 12.A bag has 6 white, 8 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 6/23 (c) 17/23 (d) 6/17
13. 13.A bag has 9 white, 5 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/9 (b) 1/3 (c) 2/9 (d) 5/6
14. 14.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/12 (d) 1/18
16. 16.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/8 (d) 1/4
17. 17.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
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) 1/3 (d) 1/4
19. 19.A bag has 9 blue, 3 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 16/19 (b) 3/16 (c) 1/3 (d) 3/19
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
21. 21.A bag has 6 red, 4 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 3/5 (c) 2/5 (d) 1/3
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
23. 23.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
25. 25.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
26. 26.A bag has 4 red, 4 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/11 (c) 4/11 (d) 4/7
27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 1/8 (d) 7/8
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 1/6 (d) 7/36
29. 29.A bag has 7 red, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/18 (b) 13/18 (c) 2/3 (d) 1/3
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
31. 31.A bag has 8 yellow, 5 white and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/18 (b) 5/13 (c) 1/3 (d) 13/18
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
33. 33.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
34. 34.A bag has 2 red, 4 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/7 (b) 2/7 (c) 1/3 (d) 2/5
35. 35.A bag has 9 green, 3 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 13/16 (c) 3/4 (d) 1/4
36. 36.A bag has 5 yellow, 2 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/16 (b) 7/9 (c) 1/3 (d) 7/16
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
38. 38.A bag has 3 yellow, 2 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/13 (c) 3/13 (d) 10/13
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
40. 40.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8

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