Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 83 · 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 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/4 (d) 1/3
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/4 (d) 1/2
4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
6. 6.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
7. 7.A bag has 9 red, 7 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/16 (b) 1/3 (c) 16/21 (d) 5/21
8. 8.A bag has 5 yellow, 7 red and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 5/18 (c) 13/18 (d) 1/3
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 5/36 (c) 4/11 (d) 1/11
10. 10.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
12. 12.A bag has 8 yellow, 5 green and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/16 (c) 9/16 (d) 1/2
13. 13.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/8 (d) 1/7
14. 14.A bag has 2 white, 4 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
16. 16.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
17. 17.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
19. 19.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
20. 20.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
21. 21.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
22. 22.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
23. 23.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
24. 24.A bag has 3 blue, 5 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/9 (b) 1/3 (c) 8/17 (d) 9/17
25. 25.A bag has 6 green, 3 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/13 (b) 10/13 (c) 9/13 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
27. 27.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
28. 28.A bag has 7 blue, 9 red and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/8 (b) 8/9 (c) 1/9 (d) 1/3
29. 29.A bag has 7 yellow, 8 white and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/19 (b) 8/11 (c) 8/19 (d) 1/3
30. 30.A bag has 2 green, 9 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 4/5 (c) 11/15 (d) 4/15
31. 31.A bag has 5 white, 4 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 9/14 (c) 5/14 (d) 5/9
32. 32.A bag has 2 green, 4 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 2/3 (c) 1/3 (d) 4/9
33. 33.A bag has 7 blue, 9 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/20 (c) 9/20 (d) 3/5
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
35. 35.A bag has 3 yellow, 6 white and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/11 (b) 6/11 (c) 5/11 (d) 1/3
36. 36.A bag has 2 red, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 5/9 (c) 1/3 (d) 5/14
37. 37.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 1/4 (c) 3/8 (d) 3/4
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
40. 40.A bag has 8 white, 7 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/11 (c) 11/19 (d) 8/19

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