Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 182 · 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 10? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
3. 3.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
5. 5.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
7. 7.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
8. 8.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
9. 9.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5
11. 11.A bag has 3 white, 2 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/8 (b) 1/3 (c) 5/13 (d) 8/13
12. 12.A bag has 9 green, 6 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 9/17 (c) 8/9 (d) 8/17
13. 13.A bag has 8 white, 7 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/20 (b) 1/3 (c) 7/13 (d) 13/20
14. 14.A bag has 2 red, 7 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/6 (c) 1/6 (d) 11/12
15. 15.A bag has 3 red, 5 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/11 (c) 8/11 (d) 3/8
16. 16.A bag has 4 yellow, 4 red and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/15 (b) 4/11 (c) 1/3 (d) 4/15
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
18. 18.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
19. 19.A bag has 5 red, 8 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/16 (c) 3/4 (d) 5/16
20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
21. 21.A bag has 3 yellow, 4 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/12 (b) 2/3 (c) 3/4 (d) 1/3
22. 22.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
23. 23.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
24. 24.A bag has 8 red, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/8 (b) 7/15 (c) 8/15 (d) 1/3
25. 25.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 7/8 (d) 1/4
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
27. 27.A bag has 2 green, 8 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/16 (b) 1/16 (c) 1/3 (d) 1/2
28. 28.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
29. 29.A bag has 3 blue, 4 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/11 (c) 8/11 (d) 9/11
30. 30.A bag has 7 red, 6 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 1/3 (c) 2/7 (d) 2/5
31. 31.A bag has 9 white, 9 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 5/8 (c) 3/8 (d) 3/5
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
33. 33.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
34. 34.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
35. 35.A bag has 5 green, 8 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 13/20 (c) 3/5 (d) 2/5
36. 36.A bag has 7 blue, 5 green and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 12/17 (b) 5/12 (c) 1/3 (d) 5/17
37. 37.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
38. 38.A bag has 6 yellow, 2 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 6/13 (c) 8/13 (d) 7/13
39. 39.A bag has 3 red, 9 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 12/17 (b) 5/12 (c) 1/3 (d) 5/17
40. 40.A bag has 4 white, 3 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/11 (b) 7/11 (c) 1/3 (d) 8/11

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