Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 539 · 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 9? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
2. 2.A bag has 5 white, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/16 (b) 1/3 (c) 5/8 (d) 3/8
3. 3.A bag has 2 green, 6 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/15 (b) 2/17 (c) 15/17 (d) 1/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
5. 5.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
6. 6.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
7. 7.A bag has 4 red, 6 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/13 (b) 6/13 (c) 8/13 (d) 1/3
8. 8.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
9. 9.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/11 (d) 1/6
11. 11.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
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
16. 16.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/7 (d) 1/8
17. 17.A bag has 5 blue, 9 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 1/3 (c) 11/16 (d) 5/16
18. 18.A bag has 6 yellow, 7 green and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/8 (b) 3/8 (c) 1/3 (d) 3/5
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
20. 20.A bag has 6 green, 4 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/18 (b) 1/3 (c) 2/3 (d) 1/2
21. 21.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
22. 22.A bag has 9 white, 6 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/7 (b) 2/7 (c) 2/5 (d) 1/3
23. 23.A bag has 5 blue, 8 white and 7 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/10 (b) 13/20 (c) 1/3 (d) 7/20
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
25. 25.A bag has 2 red, 5 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/6 (b) 11/12 (c) 5/6 (d) 1/3
26. 26.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) 3/4 (d) 1/4
27. 27.A bag has 7 yellow, 5 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/2 (b) 2/3 (c) 2/5 (d) 1/3
28. 28.A bag has 7 red, 2 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/13 (b) 1/3 (c) 10/13 (d) 9/13
29. 29.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
30. 30.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
32. 32.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
33. 33.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
35. 35.A bag has 2 white, 3 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/7 (c) 7/9 (d) 2/9
36. 36.A bag has 2 yellow, 9 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/9 (b) 1/18 (c) 1/3 (d) 1/2
37. 37.A bag has 8 white, 5 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/9 (b) 1/3 (c) 11/18 (d) 4/9
38. 38.A bag has 9 white, 6 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 4/19 (c) 15/19 (d) 16/19
39. 39.A bag has 7 green, 6 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/21 (b) 8/21 (c) 1/3 (d) 2/3
40. 40.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2

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