Probability Worksheet for Class 8 Maths Olympiad

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

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