Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 190 · 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) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
2. 2.A bag has 6 white, 2 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/5 (c) 2/5 (d) 2/3
3. 3.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
5. 5.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
6. 6.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
8. 8.A bag has 2 white, 7 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/12 (c) 2/3 (d) 7/12
9. 9.A bag has 4 blue, 3 green and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 3/10 (c) 1/3 (d) 7/10
10. 10.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 1/4 (d) 3/8
11. 11.A bag has 3 blue, 3 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 1/5 (c) 4/5 (d) 13/15
12. 12.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
13. 13.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/8 (d) 3/5
14. 14.A bag has 6 green, 3 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/4 (b) 1/3 (c) 1/5 (d) 4/5
15. 15.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
16. 16.A bag has 2 blue, 7 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
17. 17.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
18. 18.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
19. 19.A bag has 5 red, 8 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/9 (b) 4/9 (c) 1/3 (d) 4/5
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
23. 23.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/6 (c) 1/5 (d) 5/6
25. 25.A bag has 2 white, 5 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/12 (c) 5/6 (d) 1/6
26. 26.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
27. 27.A bag has 4 white, 6 red and 6 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 3/11 (d) 1/9
30. 30.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
31. 31.A bag has 2 blue, 8 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 12/13 (b) 1/3 (c) 2/13 (d) 11/13
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
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) 5/6 (d) 1/5
34. 34.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/8
35. 35.A bag has 2 white, 7 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/8 (b) 1/3 (c) 8/9 (d) 1/9
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
37. 37.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
38. 38.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
39. 39.A bag has 6 white, 5 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/14 (b) 6/7 (c) 1/3 (d) 11/14
40. 40.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

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