Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 614 · 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.A bag has 4 white, 4 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 14/17 (b) 1/3 (c) 13/17 (d) 4/17
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/12 (d) 1/11
4. 4.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 1/11 (d) 7/36
6. 6.A bag has 3 green, 4 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/7 (b) 1/3 (c) 11/14 (d) 5/7
7. 7.A bag has 7 white, 6 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/16 (b) 1/3 (c) 9/16 (d) 7/9
8. 8.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
9. 9.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
10. 10.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
11. 11.A bag has 4 white, 3 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/13 (b) 9/13 (c) 1/3 (d) 4/9
12. 12.A bag has 7 green, 4 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/9 (b) 2/7 (c) 7/9 (d) 1/3
13. 13.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
14. 14.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
15. 15.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/4
16. 16.A bag has 4 green, 4 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/12 (b) 2/3 (c) 3/4 (d) 1/3
17. 17.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
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
20. 20.A bag has 3 blue, 7 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 10/17 (c) 7/17 (d) 7/10
21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/8 (d) 1/4
22. 22.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
24. 24.A bag has 2 green, 8 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 8/15 (c) 3/5 (d) 7/15
25. 25.A bag has 4 yellow, 9 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/17 (b) 14/17 (c) 1/3 (d) 13/17
26. 26.A bag has 3 yellow, 8 white and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 1/3 (c) 1/16 (d) 9/16
27. 27.A bag has 5 red, 3 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/2 (b) 1/3 (c) 9/16 (d) 1/16
28. 28.A bag has 4 red, 3 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/11 (b) 7/11 (c) 1/3 (d) 8/11
29. 29.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
31. 31.A bag has 9 white, 5 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/17 (b) 13/17 (c) 12/17 (d) 1/3
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
33. 33.A bag has 8 white, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/20 (b) 9/10 (c) 1/3 (d) 17/20
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
35. 35.A bag has 9 white, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 1/8 (c) 7/8 (d) 15/16
36. 36.A bag has 4 red, 6 white and 5 blue 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
37. 37.A bag has 7 red, 2 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/15 (c) 8/15 (d) 7/8
38. 38.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
39. 39.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
40. 40.A bag has 4 green, 8 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 2/5 (c) 1/3 (d) 2/7

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