Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 788 · 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 8? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
3. 3.A bag has 2 red, 4 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/9 (b) 5/9 (c) 1/3 (d) 4/5
4. 4.A bag has 6 yellow, 2 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/16 (b) 1/3 (c) 1/2 (d) 1/16
5. 5.A bag has 8 blue, 2 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/13 (b) 1/3 (c) 11/13 (d) 12/13
6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 1/4 (d) 3/8
7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
8. 8.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
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
10. 10.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
11. 11.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
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
13. 13.A bag has 7 red, 8 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/9 (b) 1/3 (c) 11/18 (d) 5/9
14. 14.A bag has 6 green, 7 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/3 (c) 2/5 (d) 3/5
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
16. 16.A bag has 2 red, 4 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 14/15 (c) 13/15 (d) 2/15
17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
19. 19.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
20. 20.A bag has 2 white, 3 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 8/11 (c) 3/8 (d) 3/11
21. 21.A bag has 7 yellow, 2 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/16 (b) 7/16 (c) 1/3 (d) 7/9
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
23. 23.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
25. 25.A bag has 6 blue, 8 red and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 15/23 (c) 9/23 (d) 14/23
26. 26.A bag has 8 white, 9 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/19 (b) 9/10 (c) 1/3 (d) 10/19
27. 27.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
28. 28.A bag has 8 red, 9 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 3/5 (c) 2/5 (d) 1/3
29. 29.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 3/8 (d) 1/4
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
31. 31.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
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
33. 33.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 1/4 (d) 3/4
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
37. 37.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
38. 38.A bag has 9 white, 5 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/16 (c) 3/4 (d) 11/16
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
40. 40.A bag has 8 blue, 9 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 17/19 (b) 1/3 (c) 2/17 (d) 2/19

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