Probability Worksheet for Class 8 Maths Olympiad

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

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