Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 892 · 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) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
2. 2.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
4. 4.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 7/8 (d) 1/7
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
9. 9.A bag has 6 red, 6 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/17 (b) 6/17 (c) 1/3 (d) 12/17
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
12. 12.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
14. 14.A bag has 4 red, 8 white and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 12/19 (b) 7/12 (c) 1/3 (d) 7/19
15. 15.A bag has 2 red, 4 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 2/11 (c) 9/11 (d) 2/9
16. 16.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
17. 17.A bag has 2 red, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 17/18 (b) 1/9 (c) 8/9 (d) 1/3
18. 18.A bag has 7 blue, 4 white and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/13 (c) 4/17 (d) 13/17
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
20. 20.A bag has 8 yellow, 2 white and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/7 (c) 2/7 (d) 2/5
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
22. 22.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/6 (d) 1/11
24. 24.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
25. 25.A bag has 4 white, 4 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/11 (b) 4/7 (c) 7/11 (d) 1/3
26. 26.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
27. 27.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
28. 28.A bag has 3 red, 7 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/10 (b) 7/17 (c) 10/17 (d) 1/3
29. 29.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
30. 30.A bag has 5 red, 7 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/7 (b) 1/3 (c) 3/4 (d) 4/7
31. 31.A bag has 8 green, 7 red and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/13 (b) 8/21 (c) 1/3 (d) 13/21
32. 32.A bag has 4 green, 5 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/17 (c) 9/17 (d) 8/9
33. 33.A bag has 9 red, 8 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/5 (b) 13/20 (c) 3/5 (d) 1/3
34. 34.A bag has 2 green, 8 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/13 (c) 8/13 (d) 5/8
35. 35.A bag has 9 green, 8 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/11 (b) 11/20 (c) 9/20 (d) 1/3
36. 36.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5
37. 37.A bag has 5 blue, 7 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/15 (c) 7/15 (d) 7/8
38. 38.A bag has 6 blue, 9 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/11 (b) 1/3 (c) 17/22 (d) 3/11
39. 39.A bag has 3 blue, 5 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 13/16 (b) 3/13 (c) 3/16 (d) 1/3
40. 40.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 3/8 (d) 1/8

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