Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 119 · 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.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
2. 2.A bag has 4 green, 4 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/15 (b) 4/11 (c) 4/15 (d) 1/3
3. 3.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 1/8 (d) 3/8
4. 4.A bag has 4 green, 4 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/2 (b) 1/16 (c) 1/3 (d) 9/16
5. 5.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
6. 6.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
8. 8.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
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
12. 12.A bag has 7 yellow, 5 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 9/16 (c) 5/8 (d) 7/16
13. 13.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 1/11 (d) 6/11
16. 16.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
17. 17.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
18. 18.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
19. 19.A bag has 5 white, 7 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/19 (b) 7/12 (c) 1/3 (d) 12/19
20. 20.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
21. 21.A bag has 8 yellow, 5 red and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/22 (b) 13/22 (c) 1/3 (d) 7/11
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
23. 23.A bag has 4 red, 9 white and 6 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/15 (b) 15/19 (c) 4/19 (d) 1/3
24. 24.A bag has 5 yellow, 9 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/10 (b) 3/4 (c) 1/3 (d) 1/4
25. 25.A bag has 6 yellow, 2 white and 3 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/11 (b) 1/3 (c) 7/11 (d) 5/11
26. 26.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
28. 28.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
29. 29.A bag has 6 white, 9 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 1/3 (c) 3/4 (d) 4/7
30. 30.A bag has 8 green, 4 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/9 (b) 5/9 (c) 1/3 (d) 4/5
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
32. 32.A bag has 6 red, 4 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/13 (b) 3/13 (c) 1/3 (d) 10/13
33. 33.A bag has 3 white, 6 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/4 (c) 3/7 (d) 4/7
34. 34.A bag has 3 red, 7 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 16/19 (b) 1/3 (c) 3/16 (d) 3/19
35. 35.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
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/18 (d) 1/12
37. 37.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
38. 38.A bag has 4 blue, 5 white and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 2/5 (c) 2/3 (d) 1/3
39. 39.A bag has 2 red, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/9 (b) 2/9 (c) 1/3 (d) 7/9
40. 40.A bag has 6 green, 2 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/5 (b) 3/5 (c) 1/3 (d) 7/10

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