Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 648 · 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 12? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
2. 2.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
3. 3.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
4. 4.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) 2/3 (d) 1/3
5. 5.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
7. 7.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
8. 8.A bag has 8 yellow, 9 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 14/23 (b) 1/3 (c) 9/23 (d) 15/23
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
10. 10.A bag has 4 white, 5 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 10/13 (b) 1/3 (c) 9/13 (d) 4/13
11. 11.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
12. 12.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
13. 13.A bag has 3 red, 6 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/17 (b) 10/17 (c) 1/3 (d) 9/17
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
15. 15.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
16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
18. 18.A bag has 4 blue, 8 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 2/3 (c) 1/3 (d) 7/18
19. 19.A bag has 3 yellow, 8 green and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 8/13 (c) 5/13 (d) 9/13
20. 20.A bag has 5 blue, 7 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/19 (b) 13/19 (c) 1/3 (d) 12/19
21. 21.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
22. 22.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
23. 23.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
24. 24.A bag has 4 red, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/7 (b) 4/11 (c) 7/11 (d) 1/3
25. 25.A bag has 6 green, 9 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/17 (b) 15/17 (c) 1/3 (d) 16/17
26. 26.A bag has 4 yellow, 2 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/12 (b) 7/12 (c) 1/3 (d) 1/2
27. 27.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 1/4 (d) 5/8
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
29. 29.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
31. 31.A bag has 6 red, 3 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/4 (b) 1/3 (c) 3/4 (d) 5/6
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 1/6 (d) 6/11
34. 34.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
35. 35.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
36. 36.A bag has 9 green, 2 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/17 (b) 12/17 (c) 1/3 (d) 11/17
37. 37.A bag has 5 red, 8 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/19 (b) 6/19 (c) 14/19 (d) 1/3
38. 38.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
39. 39.A bag has 3 red, 2 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/6 (b) 6/11 (c) 1/3 (d) 5/11
40. 40.A bag has 6 yellow, 4 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 10/13 (c) 3/10 (d) 3/13

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