Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 332 · 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 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
2. 2.A bag has 7 green, 6 red and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/13 (b) 2/15 (c) 1/3 (d) 13/15
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
4. 4.A bag has 3 blue, 8 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/13 (c) 2/13 (d) 12/13
5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
6. 6.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
7. 7.A bag has 8 white, 8 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/19 (b) 1/3 (c) 11/19 (d) 8/19
8. 8.A bag has 2 yellow, 5 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/11 (b) 1/3 (c) 6/11 (d) 5/11
9. 9.A bag has 7 red, 2 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 6/13 (c) 6/7 (d) 7/13
10. 10.A bag has 2 green, 7 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/14 (c) 1/2 (d) 4/7
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) 1/3 (d) 1/2
12. 12.A bag has 7 white, 9 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/19 (b) 1/3 (c) 9/19 (d) 10/19
13. 13.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
14. 14.A bag has 6 yellow, 9 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/18 (b) 1/2 (c) 5/9 (d) 1/3
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
16. 16.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
19. 19.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
20. 20.A bag has 7 red, 7 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/22 (b) 15/22 (c) 8/11 (d) 1/3
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
22. 22.A bag has 6 blue, 8 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/8 (c) 5/8 (d) 11/16
23. 23.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 1/8 (d) 3/8
24. 24.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
25. 25.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
26. 26.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/4 (d) 1/8
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
28. 28.A bag has 7 yellow, 5 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/6 (c) 1/7 (d) 6/7
29. 29.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
31. 31.A bag has 7 green, 9 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 12/19 (b) 1/3 (c) 7/19 (d) 7/12
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
33. 33.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) 2/3 (d) 1/3
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
35. 35.A bag has 2 yellow, 8 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/17 (b) 2/15 (c) 15/17 (d) 1/3
36. 36.A bag has 6 red, 4 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/8 (c) 3/5 (d) 5/8
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
38. 38.A bag has 6 green, 4 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 4/17 (c) 4/13 (d) 13/17
39. 39.A bag has 7 yellow, 6 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 14/17 (b) 13/17 (c) 4/17 (d) 1/3
40. 40.A bag has 6 green, 4 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/6 (b) 2/9 (c) 1/3 (d) 7/9

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