Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 337 · 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.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 1/4 (d) 3/4
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 1/6 (d) 7/36
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/5 (d) 3/8
7. 7.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
8. 8.A bag has 7 yellow, 7 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/9 (b) 5/6 (c) 1/3 (d) 7/9
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 5/6 (d) 1/3
10. 10.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
12. 12.A bag has 5 blue, 4 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/11 (b) 5/11 (c) 1/3 (d) 5/6
13. 13.A bag has 3 green, 8 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 1/3 (c) 5/16 (d) 11/16
14. 14.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
15. 15.A bag has 7 yellow, 6 white and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 13/19 (b) 6/19 (c) 1/3 (d) 6/13
16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
17. 17.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
18. 18.A bag has 8 yellow, 3 red and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/3 (b) 2/5 (c) 1/3 (d) 3/5
19. 19.A bag has 4 yellow, 8 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/13 (b) 4/17 (c) 1/3 (d) 13/17
20. 20.A bag has 7 green, 6 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/15 (b) 14/15 (c) 13/15 (d) 1/3
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
22. 22.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
23. 23.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
24. 24.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
25. 25.A bag has 3 yellow, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/4 (b) 1/5 (c) 1/3 (d) 4/5
26. 26.A bag has 8 red, 3 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 12/19 (b) 8/19 (c) 11/19 (d) 1/3
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
28. 28.A bag has 8 yellow, 2 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/7 (c) 7/8 (d) 1/8
29. 29.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
31. 31.A bag has 3 blue, 2 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/10 (b) 1/3 (c) 7/10 (d) 4/5
32. 32.A bag has 8 yellow, 3 green and 2 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/13 (b) 10/13 (c) 3/10 (d) 1/3
33. 33.A bag has 7 blue, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/9 (b) 1/3 (c) 5/14 (d) 9/14
34. 34.A bag has 3 red, 2 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 1/5 (c) 4/5 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
36. 36.A bag has 3 green, 2 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 5/8 (c) 1/3 (d) 3/8
37. 37.A bag has 3 red, 8 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 5/13 (c) 9/13 (d) 8/13
38. 38.A bag has 2 blue, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/6 (b) 11/12 (c) 5/6 (d) 1/3
39. 39.A bag has 4 red, 7 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/17 (b) 10/17 (c) 1/3 (d) 11/17
40. 40.A bag has 6 blue, 8 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/17 (b) 6/17 (c) 1/3 (d) 12/17

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