Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 294 · 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 7? (a) 1/11 (b) 6/11 (c) 7/36 (d) 1/6
2. 2.A bag has 6 red, 7 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/15 (b) 14/15 (c) 1/3 (d) 2/15
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
6. 6.A bag has 8 white, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/13 (b) 11/13 (c) 2/11 (d) 1/3
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
8. 8.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
10. 10.A bag has 5 green, 2 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/11 (b) 6/11 (c) 5/11 (d) 1/3
11. 11.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
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/11 (d) 1/9
13. 13.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
15. 15.A bag has 9 red, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/5 (b) 1/3 (c) 9/20 (d) 11/20
16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
19. 19.A bag has 2 yellow, 7 white and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/11 (b) 1/3 (c) 2/11 (d) 2/9
20. 20.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 1/8 (d) 7/8
21. 21.A bag has 2 blue, 7 green and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 13/15 (b) 2/15 (c) 1/3 (d) 2/13
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/11 (d) 1/9
23. 23.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
24. 24.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
25. 25.A bag has 2 white, 2 green and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/7 (b) 7/9 (c) 1/3 (d) 2/9
26. 26.A bag has 9 blue, 8 green and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/19 (b) 1/3 (c) 10/19 (d) 11/19
27. 27.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
28. 28.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
29. 29.A bag has 5 white, 5 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/17 (b) 1/3 (c) 13/17 (d) 12/17
30. 30.A bag has 5 yellow, 5 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 14/19 (b) 1/3 (c) 5/14 (d) 5/19
31. 31.A bag has 7 red, 3 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/5 (b) 2/3 (c) 1/2 (d) 1/3
32. 32.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
33. 33.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
34. 34.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
35. 35.A bag has 8 green, 9 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 17/24 (c) 1/24 (d) 2/3
36. 36.A bag has 2 white, 7 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/7 (c) 7/8 (d) 1/8
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/11 (d) 1/9
38. 38.A bag has 6 red, 3 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/12 (c) 1/2 (d) 7/12
39. 39.A bag has 9 green, 3 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/20 (c) 9/11 (d) 11/20
40. 40.A bag has 6 red, 9 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/8 (b) 5/8 (c) 2/3 (d) 1/3

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