Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 736 · 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 9? (a) 1/9 (b) 5/36 (c) 1/11 (d) 4/11
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
3. 3.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
4. 4.A bag has 4 white, 5 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/11 (b) 1/3 (c) 4/7 (d) 7/11
5. 5.A bag has 5 red, 3 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/2 (b) 3/5 (c) 1/10 (d) 1/3
6. 6.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
7. 7.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
8. 8.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/4 (d) 1/8
9. 9.A bag has 2 yellow, 4 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/13 (b) 1/3 (c) 2/15 (d) 13/15
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/11 (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) 1/8 (d) 1/4
13. 13.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
14. 14.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
16. 16.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
17. 17.A bag has 6 green, 5 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/3 (c) 7/18 (d) 1/2
18. 18.A bag has 4 yellow, 6 red and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/3 (c) 3/7 (d) 4/7
19. 19.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
21. 21.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
22. 22.A bag has 3 red, 9 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/17 (b) 15/17 (c) 1/3 (d) 14/17
23. 23.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
24. 24.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
25. 25.A bag has 6 white, 5 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/16 (b) 1/3 (c) 5/11 (d) 5/16
26. 26.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
27. 27.A bag has 9 yellow, 2 blue 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) 1/3 (d) 7/11
28. 28.A bag has 4 green, 7 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/13 (c) 6/7 (d) 6/13
29. 29.A bag has 4 yellow, 5 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 5/16 (c) 11/16 (d) 1/3
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
31. 31.A bag has 9 green, 5 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/16 (b) 1/3 (c) 9/16 (d) 5/8
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 1/5 (d) 5/6
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
35. 35.A bag has 8 blue, 8 white and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/23 (b) 16/23 (c) 1/3 (d) 7/16
36. 36.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
37. 37.A bag has 9 green, 2 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/9 (b) 1/3 (c) 9/16 (d) 7/16
38. 38.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/4 (c) 3/8 (d) 1/8
39. 39.A bag has 6 yellow, 2 green and 2 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
40. 40.A bag has 4 white, 7 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/7 (b) 2/5 (c) 5/7 (d) 1/3

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