Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 606 · 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 and at least one tail? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
2. 2.A bag has 6 yellow, 2 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 7/12 (d) 1/12
3. 3.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
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
6. 6.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
8. 8.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
9. 9.A bag has 6 blue, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/11 (b) 5/11 (c) 1/3 (d) 5/6
10. 10.A bag has 9 white, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/25 (b) 18/25 (c) 1/3 (d) 7/18
11. 11.A bag has 6 white, 4 red and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 1/12 (c) 7/12 (d) 1/3
12. 12.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
14. 14.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
15. 15.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 1/6 (d) 7/36
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
18. 18.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
19. 19.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/11 (d) 1/9
21. 21.A bag has 8 yellow, 3 red and 8 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 16/19 (b) 3/19 (c) 1/3 (d) 17/19
22. 22.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
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5
26. 26.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
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
28. 28.A bag has 3 green, 5 red and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/13 (b) 5/8 (c) 1/3 (d) 8/13
29. 29.A bag has 3 red, 9 green and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/14 (b) 5/7 (c) 5/14 (d) 1/3
30. 30.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
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
32. 32.A bag has 3 red, 6 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/6 (b) 1/3 (c) 5/11 (d) 6/11
33. 33.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
34. 34.A bag has 3 white, 2 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 4/9 (c) 1/3 (d) 2/3
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
36. 36.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
38. 38.A bag has 3 green, 8 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 11/18 (c) 7/11 (d) 7/18
39. 39.A bag has 3 yellow, 4 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/13 (b) 3/16 (c) 1/3 (d) 13/16
40. 40.A bag has 6 blue, 3 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/4 (b) 5/6 (c) 1/3 (d) 3/4

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