Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 269 · 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) 3/4 (c) 1/2 (d) 1/4
2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
6. 6.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
7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 1/11 (d) 6/11
9. 9.A bag has 5 red, 2 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 5/12 (c) 7/12 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
11. 11.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
12. 12.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 1/11 (d) 5/11
14. 14.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 1/8 (d) 3/4
15. 15.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 1/4 (d) 7/8
16. 16.A bag has 7 green, 9 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/25 (b) 7/18 (c) 18/25 (d) 1/3
17. 17.A bag has 3 red, 6 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/18 (b) 1/3 (c) 5/9 (d) 1/2
18. 18.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
19. 19.A bag has 4 red, 3 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/3 (b) 1/9 (c) 1/3 (d) 7/9
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
21. 21.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
22. 22.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/12 (d) 1/11
24. 24.A bag has 6 green, 8 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 6/23 (b) 17/23 (c) 1/3 (d) 18/23
25. 25.A bag has 7 yellow, 3 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/18 (b) 1/3 (c) 7/18 (d) 2/3
26. 26.A bag has 3 green, 3 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/4 (c) 5/6 (d) 1/4
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
28. 28.A bag has 7 blue, 7 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/12 (b) 12/19 (c) 7/19 (d) 1/3
29. 29.A bag has 3 red, 4 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/7 (b) 1/3 (c) 1/2 (d) 1/14
30. 30.A bag has 4 red, 4 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 10/13 (b) 4/13 (c) 9/13 (d) 1/3
31. 31.A bag has 6 yellow, 4 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/12 (b) 1/2 (c) 1/12 (d) 1/3
32. 32.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
34. 34.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
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
36. 36.A bag has 2 red, 2 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/12 (b) 1/6 (c) 1/3 (d) 5/6
37. 37.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
38. 38.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/4 (d) 1/8
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
40. 40.A bag has 3 green, 8 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/14 (c) 6/7 (d) 3/14

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