Probability Worksheet for Class 8 Maths Olympiad

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

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