Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 621 · 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.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/8 (d) 3/4
2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 1/8 (d) 3/8
3. 3.A bag has 2 yellow, 5 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 1/5 (c) 1/3 (d) 1/4
4. 4.A bag has 5 white, 8 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/4 (c) 4/5 (d) 3/4
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
6. 6.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
7. 7.A bag has 6 red, 8 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/16 (b) 1/3 (c) 9/16 (d) 1/2
8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
9. 9.A bag has 8 red, 7 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 15/17 (c) 16/17 (d) 2/17
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
11. 11.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
12. 12.A bag has 3 red, 4 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/10 (b) 4/5 (c) 3/10 (d) 1/3
13. 13.A bag has 5 white, 2 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/10 (b) 3/10 (c) 3/7 (d) 1/3
14. 14.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
15. 15.A bag has 4 red, 7 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/15 (b) 4/15 (c) 1/3 (d) 4/11
16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
19. 19.A bag has 2 yellow, 9 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 13/15 (c) 14/15 (d) 2/15
20. 20.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
21. 21.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
22. 22.A bag has 8 blue, 6 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/9 (c) 4/5 (d) 4/9
23. 23.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
24. 24.A bag has 8 white, 3 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/8 (b) 3/16 (c) 1/3 (d) 13/16
25. 25.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
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 6/11 (d) 1/6
27. 27.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
28. 28.A bag has 6 green, 6 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/16 (b) 3/8 (c) 5/8 (d) 1/3
29. 29.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
30. 30.A bag has 8 white, 7 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 15/23 (b) 8/23 (c) 1/3 (d) 8/15
31. 31.A bag has 7 red, 9 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/25 (b) 18/25 (c) 1/3 (d) 7/18
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
33. 33.A bag has 6 white, 2 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/11 (b) 1/3 (c) 11/13 (d) 2/13
34. 34.A bag has 4 blue, 8 red and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/21 (c) 2/3 (d) 13/21
35. 35.A bag has 5 green, 4 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 11/16 (c) 5/16 (d) 5/11
36. 36.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12

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