Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 82 · 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) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
4. 4.A bag has 7 yellow, 3 green and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/8 (b) 8/15 (c) 7/15 (d) 1/3
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
6. 6.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
7. 7.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
8. 8.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
9. 9.A bag has 7 blue, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/14 (b) 3/11 (c) 3/14 (d) 1/3
10. 10.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
11. 11.A bag has 4 red, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/4 (b) 1/3 (c) 1/5 (d) 4/5
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
13. 13.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
17. 17.A bag has 3 green, 6 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/14 (c) 5/9 (d) 5/14
18. 18.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
19. 19.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 1/11 (d) 7/36
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
22. 22.A bag has 7 green, 2 red and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 16/17 (b) 2/17 (c) 15/17 (d) 1/3
23. 23.A bag has 3 red, 4 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 1/4 (c) 3/4 (d) 13/16
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
26. 26.A bag has 7 blue, 2 red and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 10/13 (b) 9/13 (c) 1/3 (d) 4/13
27. 27.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
28. 28.A bag has 4 red, 2 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/7 (b) 1/3 (c) 2/5 (d) 2/7
29. 29.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
30. 30.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 1/8 (d) 3/8
31. 31.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
32. 32.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 1/7 (d) 7/8
33. 33.A bag has 5 green, 2 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/15 (b) 13/15 (c) 1/3 (d) 14/15
34. 34.A bag has 3 white, 7 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/19 (b) 10/19 (c) 11/19 (d) 1/3
35. 35.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
37. 37.A bag has 4 white, 6 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 13/17 (c) 14/17 (d) 4/17
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
39. 39.A bag has 9 blue, 3 white and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/9 (b) 5/14 (c) 9/14 (d) 1/3
40. 40.A bag has 6 blue, 5 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/13 (b) 1/3 (c) 2/13 (d) 12/13

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