Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 900 · 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 11? (a) 1/12 (b) 1/18 (c) 1/11 (d) 2/11
2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
3. 3.A bag has 6 red, 9 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 16/17 (c) 2/17 (d) 15/17
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
5. 5.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
8. 8.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
10. 10.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/8 (d) 1/4
11. 11.A bag has 4 white, 8 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/15 (b) 1/3 (c) 11/15 (d) 4/11
12. 12.A bag has 6 white, 4 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/6 (b) 5/6 (c) 1/3 (d) 11/12
13. 13.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) 1/4 (d) 1/8
14. 14.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
15. 15.A bag has 9 green, 2 red and 4 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/15 (b) 2/13 (c) 13/15 (d) 1/3
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
19. 19.A bag has 7 white, 4 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/20 (b) 1/3 (c) 9/20 (d) 9/11
20. 20.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
21. 21.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 1/4 (d) 7/8
22. 22.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
23. 23.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
24. 24.A bag has 7 green, 3 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/9 (b) 1/3 (c) 11/18 (d) 4/9
25. 25.A bag has 2 blue, 2 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/9 (b) 1/3 (c) 2/7 (d) 7/9
26. 26.A bag has 9 white, 5 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 15/19 (c) 14/19 (d) 5/19
27. 27.A bag has 4 red, 3 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/13 (b) 1/3 (c) 6/13 (d) 8/13
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/4 (c) 5/6 (d) 1/3
29. 29.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
30. 30.A bag has 8 blue, 4 red and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 5/16 (c) 1/4 (d) 1/3
31. 31.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
32. 32.A bag has 7 red, 3 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/12 (b) 1/3 (c) 1/4 (d) 3/4
33. 33.A bag has 7 white, 2 red and 9 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 7/18 (c) 11/18 (d) 7/11
34. 34.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 5/8 (d) 3/5
35. 35.A bag has 5 white, 9 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/17 (b) 8/9 (c) 9/17 (d) 1/3
36. 36.A bag has 5 green, 6 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/14 (b) 3/14 (c) 6/7 (d) 1/3
37. 37.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
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
39. 39.A bag has 8 red, 2 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/9 (b) 5/9 (c) 1/3 (d) 11/18
40. 40.A bag has 7 yellow, 7 green and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 14/23 (c) 9/14 (d) 9/23

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