Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 334 · 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 dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
2. 2.A bag has 9 white, 5 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/23 (b) 1/3 (c) 9/14 (d) 14/23
3. 3.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
4. 4.A bag has 2 white, 7 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/16 (c) 7/16 (d) 7/9
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
7. 7.A bag has 3 blue, 6 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/3 (b) 1/3 (c) 2/5 (d) 3/5
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
9. 9.A bag has 3 red, 9 white and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
11. 11.A bag has 5 yellow, 3 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/16 (c) 1/2 (d) 9/16
12. 12.A bag has 4 green, 3 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/10 (b) 3/10 (c) 1/3 (d) 3/7
13. 13.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
14. 14.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
15. 15.A bag has 7 white, 9 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 17/22 (c) 8/11 (d) 3/11
16. 16.A bag has 9 yellow, 8 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/10 (c) 3/20 (d) 17/20
17. 17.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/8 (d) 1/4
18. 18.A bag has 8 green, 4 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/7 (c) 4/7 (d) 9/14
19. 19.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
21. 21.A bag has 3 blue, 9 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/7 (b) 6/7 (c) 1/3 (d) 19/21
22. 22.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
25. 25.A bag has 8 blue, 7 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/21 (b) 1/2 (c) 1/3 (d) 2/3
26. 26.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
27. 27.A bag has 9 green, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/18 (c) 5/9 (d) 1/2
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
29. 29.A bag has 2 red, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/9 (b) 7/9 (c) 2/9 (d) 1/3
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
33. 33.A bag has 5 yellow, 7 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/5 (b) 1/3 (c) 1/4 (d) 1/5
34. 34.A bag has 5 red, 2 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/7 (b) 7/8 (c) 1/8 (d) 1/3
35. 35.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
36. 36.A bag has 3 white, 7 green and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/5 (c) 4/5 (d) 1/4
37. 37.A bag has 3 red, 3 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/5 (c) 3/10 (d) 7/10
38. 38.A bag has 9 red, 6 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 18/23 (b) 17/23 (c) 1/3 (d) 6/23
39. 39.A bag has 4 yellow, 6 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/18 (b) 4/9 (c) 1/3 (d) 5/9
40. 40.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2

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