Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 241 · 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 8? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
6. 6.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
8. 8.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
9. 9.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
10. 10.A bag has 9 white, 3 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/20 (b) 1/3 (c) 11/20 (d) 3/5
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
12. 12.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
13. 13.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
14. 14.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
15. 15.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
16. 16.A bag has 9 yellow, 8 green and 4 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/3 (b) 1/3 (c) 8/21 (d) 13/21
17. 17.A bag has 4 yellow, 2 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/13 (b) 1/3 (c) 6/13 (d) 6/7
18. 18.A bag has 3 yellow, 6 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/2 (b) 1/12 (c) 1/3 (d) 7/12
19. 19.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 1/4 (d) 3/4
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
21. 21.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
22. 22.A bag has 6 white, 9 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/17 (b) 6/17 (c) 11/17 (d) 1/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
24. 24.A bag has 8 white, 7 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/11 (c) 4/7 (d) 7/11
25. 25.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 5/8 (d) 3/8
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
27. 27.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
28. 28.A bag has 7 green, 3 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/15 (b) 3/5 (c) 8/15 (d) 1/3
29. 29.A bag has 5 blue, 6 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 14/19 (b) 1/3 (c) 5/19 (d) 15/19
30. 30.A bag has 4 green, 9 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/17 (b) 13/17 (c) 14/17 (d) 1/3
31. 31.A bag has 3 green, 2 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/14 (c) 11/14 (d) 6/7
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
33. 33.A bag has 9 blue, 3 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 13/21 (c) 3/7 (d) 4/7
34. 34.A bag has 3 green, 5 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/11 (b) 6/11 (c) 5/11 (d) 1/3
35. 35.A bag has 3 green, 8 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/14 (b) 11/14 (c) 1/3 (d) 6/7
36. 36.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
37. 37.A bag has 3 green, 2 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/5 (c) 1/2 (d) 1/10
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
39. 39.A bag has 3 blue, 9 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/16 (b) 1/3 (c) 7/8 (d) 3/16
40. 40.A bag has 7 yellow, 7 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 16/23 (b) 7/23 (c) 1/3 (d) 7/16

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