Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 854 · 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.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
2. 2.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
4. 4.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 3/4
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
8. 8.A bag has 9 red, 3 white and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/8 (b) 7/16 (c) 9/16 (d) 1/3
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
10. 10.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
11. 11.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 3/5 (d) 5/8
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
13. 13.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
14. 14.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
15. 15.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
16. 16.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 1/4 (d) 7/8
17. 17.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
18. 18.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
19. 19.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 7/8 (d) 1/4
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 6/11 (d) 1/11
21. 21.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
22. 22.A bag has 7 yellow, 5 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 1/3 (c) 7/18 (d) 11/18
23. 23.A bag has 7 green, 3 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/8 (b) 1/3 (c) 13/16 (d) 3/16
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
25. 25.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
27. 27.A bag has 4 white, 4 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/13 (b) 9/13 (c) 1/3 (d) 4/9
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
29. 29.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
30. 30.A bag has 9 white, 2 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 10/19 (c) 9/19 (d) 11/19
31. 31.A bag has 6 green, 9 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 3/8 (c) 2/3 (d) 1/3
32. 32.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
33. 33.A bag has 9 yellow, 7 green and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/7 (c) 3/7 (d) 3/4
34. 34.A bag has 6 white, 7 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/16 (b) 13/16 (c) 1/3 (d) 3/13
35. 35.A bag has 5 yellow, 4 red and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/13 (b) 13/17 (c) 1/3 (d) 4/17
36. 36.A bag has 8 red, 5 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/15 (b) 8/15 (c) 7/8 (d) 1/3
37. 37.A bag has 5 yellow, 3 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 3/4 (c) 1/3 (d) 4/7
38. 38.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
39. 39.A bag has 7 blue, 5 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/15 (c) 4/5 (d) 1/5
40. 40.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

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