Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 703 · 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 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
2. 2.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
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
5. 5.A bag has 6 yellow, 6 green and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/19 (b) 6/13 (c) 1/3 (d) 6/19
6. 6.A bag has 8 white, 3 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/15 (b) 1/3 (c) 4/11 (d) 4/15
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
8. 8.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
9. 9.A bag has 9 green, 2 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 18/19 (b) 17/19 (c) 1/3 (d) 2/19
10. 10.A bag has 2 blue, 2 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/4 (c) 4/7 (d) 3/7
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
13. 13.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
14. 14.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 3/8 (d) 1/4
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
16. 16.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 6/11 (d) 1/11
18. 18.A bag has 2 red, 2 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
19. 19.A bag has 7 yellow, 4 green and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/13 (b) 2/13 (c) 1/3 (d) 2/11
20. 20.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
21. 21.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
22. 22.A bag has 7 blue, 9 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/11 (c) 3/8 (d) 8/11
23. 23.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
24. 24.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
25. 25.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 1/4 (d) 3/5
26. 26.A bag has 5 white, 5 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 14/19 (b) 5/14 (c) 5/19 (d) 1/3
27. 27.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 7/8 (d) 1/7
28. 28.A bag has 7 blue, 7 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/19 (b) 1/3 (c) 12/19 (d) 13/19
29. 29.A bag has 5 red, 2 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/9 (c) 8/9 (d) 7/9
30. 30.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
32. 32.A bag has 7 yellow, 7 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 15/17 (c) 3/17 (d) 14/17
33. 33.A bag has 8 green, 6 red and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 3/10 (c) 7/10 (d) 1/3
34. 34.A bag has 9 yellow, 5 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/17 (c) 3/14 (d) 14/17
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
36. 36.A bag has 3 green, 3 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/3 (b) 1/3 (c) 4/9 (d) 1/2
37. 37.A bag has 5 green, 6 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/14 (b) 5/19 (c) 14/19 (d) 1/3
38. 38.A bag has 6 blue, 3 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 10/13 (c) 3/13 (d) 3/10
39. 39.A bag has 3 green, 2 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 8/13 (c) 1/3 (d) 5/13
40. 40.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

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