Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 442 · 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 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
2. 2.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
3. 3.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 1/6 (d) 7/36
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
8. 8.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
10. 10.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
12. 12.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/8 (d) 1/4
13. 13.A bag has 8 red, 2 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 16/17 (b) 1/3 (c) 15/17 (d) 2/17
14. 14.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
15. 15.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
19. 19.A bag has 3 yellow, 4 red and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/4 (b) 4/5 (c) 1/3 (d) 1/5
20. 20.A bag has 3 red, 2 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/9 (b) 1/3 (c) 2/9 (d) 7/9
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 1/11 (d) 2/11
22. 22.A bag has 4 white, 6 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/12 (b) 2/3 (c) 1/3 (d) 3/4
23. 23.A bag has 4 red, 9 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/13 (b) 13/20 (c) 1/3 (d) 7/20
24. 24.A bag has 7 blue, 4 red and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/11 (b) 1/3 (c) 11/14 (d) 3/14
25. 25.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
26. 26.A bag has 6 blue, 7 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/21 (b) 5/7 (c) 2/3 (d) 1/3
27. 27.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
28. 28.A bag has 3 red, 4 white and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/2 (b) 1/3 (c) 4/7 (d) 1/14
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
30. 30.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
31. 31.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
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
33. 33.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
34. 34.A bag has 3 red, 2 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/4 (b) 5/8 (c) 1/3 (d) 3/8
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
37. 37.A bag has 6 red, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 7/15 (c) 7/22 (d) 15/22
38. 38.A bag has 4 blue, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/7 (b) 11/14 (c) 5/7 (d) 1/3
39. 39.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 3/5 (d) 5/8
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6

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