Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 410 · 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 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
2. 2.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
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
4. 4.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
5. 5.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
6. 6.A bag has 9 red, 7 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/20 (c) 9/11 (d) 11/20
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
9. 9.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
10. 10.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 1/8 (d) 7/8
11. 11.A bag has 7 blue, 2 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/12 (b) 5/6 (c) 1/3 (d) 1/6
12. 12.A bag has 9 green, 3 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/21 (b) 1/3 (c) 3/7 (d) 4/7
13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
14. 14.A bag has 6 blue, 7 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/22 (b) 9/13 (c) 9/22 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
17. 17.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
18. 18.A bag has 2 yellow, 3 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/9 (b) 7/9 (c) 8/9 (d) 1/3
19. 19.A bag has 9 yellow, 4 red and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/22 (b) 1/3 (c) 9/13 (d) 9/22
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
23. 23.A bag has 7 red, 5 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/5 (b) 13/20 (c) 2/5 (d) 1/3
24. 24.A bag has 3 red, 9 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
26. 26.A bag has 4 white, 6 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/16 (b) 3/4 (c) 1/3 (d) 1/4
27. 27.A bag has 6 white, 7 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/15 (b) 1/3 (c) 2/13 (d) 13/15
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
30. 30.A bag has 9 green, 6 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/11 (c) 3/11 (d) 3/8
31. 31.A bag has 5 red, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 1/3 (c) 11/16 (d) 5/16
32. 32.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
33. 33.A bag has 9 yellow, 5 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/13 (b) 1/3 (c) 13/22 (d) 9/22
34. 34.A bag has 2 red, 7 green and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/12 (c) 3/4 (d) 1/4
35. 35.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
36. 36.A bag has 3 green, 4 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/9 (b) 4/9 (c) 4/5 (d) 1/3
37. 37.A bag has 2 yellow, 4 white and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 4/9 (c) 2/3 (d) 1/2
38. 38.A bag has 5 yellow, 8 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/15 (b) 2/15 (c) 1/3 (d) 14/15
39. 39.A bag has 8 white, 2 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/19 (b) 1/3 (c) 8/11 (d) 8/19
40. 40.A bag has 3 green, 5 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/16 (c) 5/11 (d) 11/16

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