Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 103 · 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) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
3. 3.A bag has 4 green, 7 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/15 (b) 4/5 (c) 4/15 (d) 1/3
4. 4.A bag has 3 green, 3 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
6. 6.A bag has 8 white, 5 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/9 (c) 4/5 (d) 5/9
7. 7.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
8. 8.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
9. 9.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/8 (d) 1/4
10. 10.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
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.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
13. 13.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
14. 14.A bag has 3 blue, 9 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 15/17 (b) 1/3 (c) 3/17 (d) 14/17
15. 15.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
17. 17.A bag has 9 yellow, 2 red and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/17 (b) 1/3 (c) 9/17 (d) 10/17
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
21. 21.A bag has 6 green, 9 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 1/3 (c) 4/7 (d) 3/4
22. 22.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
23. 23.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
24. 24.A bag has 7 red, 3 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/6 (c) 8/9 (d) 1/6
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
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) 1/6 (d) 2/3
27. 27.A bag has 3 yellow, 9 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 1/3 (c) 3/5 (d) 2/3
28. 28.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
31. 31.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
32. 32.A bag has 7 blue, 8 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/19 (b) 1/3 (c) 15/19 (d) 4/15
33. 33.A bag has 5 green, 2 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/6 (c) 1/7 (d) 6/7
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
35. 35.A bag has 9 green, 6 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/8 (c) 5/8 (d) 3/5
36. 36.A bag has 8 white, 3 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/5 (c) 2/5 (d) 2/3
37. 37.A bag has 7 white, 8 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/9 (b) 1/3 (c) 4/5 (d) 5/9
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
40. 40.A bag has 9 white, 8 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/20 (c) 9/20 (d) 3/5

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