Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 188 · 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 coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
2. 2.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
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.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
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
6. 6.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
7. 7.A bag has 2 white, 5 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 9/10 (c) 1/5 (d) 4/5
8. 8.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
9. 9.A bag has 4 red, 4 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/5 (c) 2/3 (d) 2/5
10. 10.A bag has 7 blue, 4 red and 8 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/12 (b) 1/3 (c) 7/19 (d) 12/19
11. 11.A bag has 5 blue, 5 red and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/12 (b) 1/3 (c) 5/12 (d) 5/7
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
16. 16.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
17. 17.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 1/4 (d) 3/8
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
20. 20.A bag has 8 red, 8 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/18 (b) 5/9 (c) 1/3 (d) 4/9
21. 21.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
22. 22.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 1/3 (d) 2/3
23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
24. 24.A bag has 4 red, 6 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/7 (b) 11/14 (c) 5/7 (d) 1/3
25. 25.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
26. 26.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
27. 27.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
28. 28.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
29. 29.A bag has 3 green, 2 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 2/11 (c) 10/11 (d) 9/11
30. 30.A bag has 4 red, 7 green and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/11 (b) 1/3 (c) 11/18 (d) 7/18
31. 31.A bag has 7 white, 4 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/10 (b) 10/17 (c) 1/3 (d) 7/17
32. 32.A bag has 9 white, 9 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/20 (b) 1/3 (c) 11/20 (d) 9/11
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
34. 34.A bag has 5 green, 8 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/21 (b) 1/3 (c) 16/21 (d) 5/16
35. 35.A bag has 4 green, 9 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/16 (b) 7/9 (c) 7/16 (d) 1/3
36. 36.A bag has 4 yellow, 3 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 1/4 (c) 5/6 (d) 1/3
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
39. 39.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
40. 40.A bag has 8 green, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/5 (b) 1/3 (c) 3/5 (d) 2/3

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