Probability Worksheet for Class 8 Maths Olympiad

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad