Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 244 · 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.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
2. 2.A bag has 2 red, 3 white and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/2 (c) 2/3 (d) 4/9
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
4. 4.A bag has 9 green, 9 white and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/18 (c) 7/25 (d) 18/25
5. 5.A bag has 4 red, 4 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/10 (c) 2/5 (d) 3/5
6. 6.A bag has 3 red, 9 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/9 (c) 5/6 (d) 1/6
7. 7.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
8. 8.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
10. 10.A bag has 4 yellow, 8 red and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/12 (b) 1/3 (c) 7/19 (d) 12/19
11. 11.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
14. 14.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
16. 16.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
17. 17.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
18. 18.A bag has 3 blue, 4 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/9 (b) 5/9 (c) 1/3 (d) 2/3
19. 19.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/11 (c) 1/6 (d) 6/11
22. 22.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
23. 23.A bag has 8 blue, 3 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/14 (c) 11/14 (d) 6/7
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
26. 26.A bag has 2 red, 2 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/7 (b) 2/5 (c) 1/3 (d) 2/7
27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
28. 28.A bag has 9 green, 5 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 9/23 (c) 15/23 (d) 14/23
29. 29.A bag has 3 blue, 7 red and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 10/13 (b) 3/13 (c) 3/10 (d) 1/3
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
32. 32.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
33. 33.A bag has 2 green, 6 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/10 (b) 1/5 (c) 4/5 (d) 1/3
34. 34.A bag has 5 blue, 3 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 5/14 (c) 5/7 (d) 9/14
35. 35.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
36. 36.A bag has 9 white, 4 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/17 (c) 10/17 (d) 9/17
37. 37.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
38. 38.A bag has 7 white, 3 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/15 (b) 8/15 (c) 1/3 (d) 7/8
39. 39.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
40. 40.A bag has 3 red, 5 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/14 (b) 1/3 (c) 14/17 (d) 3/17

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