Probability Worksheet for Class 8 Maths Olympiad

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

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