Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 346 · 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 coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
2. 2.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/4 (c) 1/3 (d) 5/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
4. 4.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
6. 6.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
7. 7.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
8. 8.A bag has 8 red, 6 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/7 (b) 1/3 (c) 5/7 (d) 2/5
9. 9.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
10. 10.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
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.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/4
14. 14.A bag has 4 red, 3 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/7 (c) 3/10 (d) 7/10
15. 15.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
16. 16.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/7 (d) 1/8
17. 17.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
18. 18.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
19. 19.A bag has 5 green, 2 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/13 (c) 8/13 (d) 5/8
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
21. 21.A bag has 9 blue, 7 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/14 (b) 9/23 (c) 14/23 (d) 1/3
22. 22.A bag has 3 red, 5 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 12/17 (b) 1/3 (c) 5/17 (d) 13/17
23. 23.A bag has 3 yellow, 3 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 1/3 (c) 7/9 (d) 1/9
24. 24.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
25. 25.A bag has 8 white, 4 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 1/3 (c) 2/3 (d) 2/5
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
27. 27.A bag has 3 red, 6 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 6/17 (b) 12/17 (c) 1/3 (d) 11/17
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
31. 31.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
32. 32.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
33. 33.A bag has 4 white, 6 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/8 (b) 3/8 (c) 11/16 (d) 1/3
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 1/11 (d) 6/11
35. 35.A bag has 3 yellow, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/12 (c) 1/4 (d) 3/4
36. 36.A bag has 7 blue, 4 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/18 (b) 7/11 (c) 11/18 (d) 1/3
37. 37.A bag has 9 blue, 5 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/20 (b) 9/20 (c) 1/3 (d) 9/11
38. 38.A bag has 6 white, 8 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/17 (b) 3/14 (c) 14/17 (d) 1/3
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11

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