Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 200 · 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 3? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
4. 4.A bag has 4 red, 8 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 17/20 (c) 4/5 (d) 1/5
5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
6. 6.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
7. 7.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
9. 9.A bag has 2 blue, 3 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 3/8 (c) 5/8 (d) 1/3
10. 10.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
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
12. 12.A bag has 2 red, 3 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/13 (c) 11/13 (d) 10/13
13. 13.A bag has 9 white, 4 red and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/11 (b) 9/11 (c) 2/9 (d) 1/3
14. 14.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
16. 16.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
17. 17.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
18. 18.A bag has 9 red, 8 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 13/22 (b) 1/3 (c) 9/22 (d) 9/13
19. 19.A bag has 9 white, 8 red and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 17/26 (b) 9/17 (c) 1/3 (d) 9/26
20. 20.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
21. 21.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/8
22. 22.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
23. 23.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
24. 24.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/4 (c) 5/6 (d) 1/3
25. 25.A bag has 7 blue, 8 green and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/4 (c) 3/10 (d) 1/3
26. 26.A bag has 5 green, 6 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/13 (b) 5/13 (c) 1/3 (d) 5/8
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
29. 29.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
30. 30.A bag has 3 green, 3 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/15 (c) 1/5 (d) 4/5
31. 31.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
32. 32.A bag has 5 blue, 8 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/22 (b) 13/22 (c) 9/13 (d) 1/3
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
35. 35.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
36. 36.A bag has 2 green, 3 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/7 (b) 1/3 (c) 5/7 (d) 4/7
37. 37.A bag has 8 green, 4 white and 2 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 11/14 (b) 2/7 (c) 5/7 (d) 1/3
38. 38.A bag has 8 blue, 3 green and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/18 (b) 5/9 (c) 4/9 (d) 1/3
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
40. 40.A bag has 5 red, 9 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/11 (b) 17/22 (c) 5/22 (d) 1/3

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