Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 51 · 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 fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
2. 2.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
3. 3.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
4. 4.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
6. 6.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
7. 7.A bag has 9 yellow, 4 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 10/17 (c) 9/17 (d) 8/17
8. 8.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 3/8 (d) 1/4
9. 9.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
10. 10.A bag has 3 red, 3 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/3 (c) 2/5 (d) 3/5
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
13. 13.A bag has 4 green, 2 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/7 (b) 4/7 (c) 9/14 (d) 1/3
14. 14.A bag has 3 blue, 9 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/7 (b) 1/6 (c) 1/7 (d) 1/3
15. 15.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
16. 16.A bag has 2 red, 2 green and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/11 (b) 2/9 (c) 1/3 (d) 2/11
17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 5/6 (d) 1/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/11 (c) 1/12 (d) 1/18
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/11 (d) 1/12
20. 20.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
21. 21.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
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
23. 23.A bag has 5 yellow, 8 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 11/16 (c) 5/16 (d) 1/3
24. 24.A bag has 9 green, 5 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 8/17 (c) 9/17 (d) 8/9
25. 25.A bag has 2 yellow, 5 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 6/7 (c) 1/6 (d) 1/7
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
27. 27.A bag has 5 red, 7 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/15 (b) 8/15 (c) 3/5 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
29. 29.A bag has 7 yellow, 5 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/16 (b) 1/4 (c) 1/3 (d) 3/4
30. 30.A bag has 7 red, 7 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/17 (b) 1/3 (c) 10/17 (d) 7/10
31. 31.A bag has 2 blue, 2 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 12/13 (b) 1/3 (c) 2/13 (d) 11/13
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 1/11 (d) 5/11
33. 33.A bag has 3 blue, 4 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 5/9 (c) 4/9 (d) 1/3
34. 34.A bag has 6 white, 5 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 6/13 (b) 1/3 (c) 6/19 (d) 13/19
35. 35.A bag has 9 red, 9 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 5/8 (c) 2/3 (d) 3/8
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
37. 37.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 5/8 (d) 1/4
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
39. 39.A bag has 7 red, 7 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 14/19 (b) 1/3 (c) 15/19 (d) 5/19
40. 40.A bag has 4 yellow, 9 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 10/19 (b) 11/19 (c) 9/19 (d) 1/3

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