Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 629 · 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 a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
2. 2.A bag has 6 green, 5 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/7 (b) 1/3 (c) 9/14 (d) 5/14
3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
4. 4.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
5. 5.A bag has 6 blue, 8 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 14/23 (c) 15/23 (d) 9/23
6. 6.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
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
9. 9.A bag has 2 white, 4 red and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/15 (b) 4/15 (c) 4/11 (d) 1/3
10. 10.A bag has 3 green, 3 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/7 (b) 1/3 (c) 9/14 (d) 4/7
11. 11.A bag has 4 white, 4 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 9/16 (c) 1/2 (d) 1/16
12. 12.A bag has 8 yellow, 2 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/7 (b) 3/7 (c) 1/3 (d) 9/14
13. 13.A bag has 9 white, 3 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 10/19 (b) 9/10 (c) 1/3 (d) 9/19
14. 14.A bag has 3 yellow, 9 red and 3 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 1/3 (c) 2/5 (d) 3/5
15. 15.A bag has 3 green, 6 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/4 (c) 4/5 (d) 1/5
16. 16.A bag has 6 yellow, 9 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/11 (b) 9/20 (c) 1/3 (d) 11/20
17. 17.A bag has 4 white, 4 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 5/12 (c) 2/3 (d) 1/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
19. 19.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
20. 20.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
21. 21.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
22. 22.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/5 (d) 3/8
23. 23.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
24. 24.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
25. 25.A bag has 3 blue, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 10/13 (c) 3/13 (d) 11/13
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/11 (d) 1/6
27. 27.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
29. 29.A bag has 9 blue, 4 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/22 (b) 1/3 (c) 9/22 (d) 9/13
30. 30.A bag has 4 yellow, 6 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/12 (b) 1/2 (c) 1/3 (d) 7/12
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
32. 32.A bag has 5 yellow, 5 red and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/7 (b) 2/5 (c) 5/7 (d) 1/3
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
35. 35.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
38. 38.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
39. 39.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
40. 40.A bag has 6 blue, 8 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/21 (c) 13/21 (d) 8/13

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