Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 802 · 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 coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
2. 2.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
3. 3.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
4. 4.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
5. 5.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
6. 6.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
7. 7.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
8. 8.A bag has 4 white, 3 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/5 (b) 1/3 (c) 7/10 (d) 3/5
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
12. 12.A bag has 2 blue, 6 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 8/13 (c) 7/13 (d) 6/13
13. 13.A bag has 2 green, 9 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 9/20 (c) 9/11 (d) 11/20
14. 14.A bag has 9 red, 2 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/11 (b) 1/3 (c) 11/20 (d) 9/20
15. 15.A bag has 3 yellow, 8 red and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/10 (c) 10/13 (d) 3/13
16. 16.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
17. 17.A bag has 3 red, 9 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/8 (b) 13/16 (c) 3/16 (d) 1/3
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
19. 19.A bag has 6 white, 3 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/17 (c) 6/17 (d) 12/17
20. 20.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
21. 21.A bag has 5 yellow, 7 green and 5 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/10 (b) 7/17 (c) 1/3 (d) 10/17
22. 22.A bag has 6 white, 5 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/3
23. 23.A bag has 4 white, 6 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/14 (b) 1/3 (c) 2/7 (d) 5/7
24. 24.A bag has 2 green, 4 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 3/4 (c) 3/8 (d) 1/3
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
26. 26.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
27. 27.A bag has 9 yellow, 4 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 11/20 (c) 9/20 (d) 1/3
28. 28.A bag has 5 red, 5 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/12 (b) 2/3 (c) 7/12 (d) 1/3
29. 29.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 3/8 (d) 1/8
30. 30.A bag has 3 white, 9 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/7 (b) 1/3 (c) 1/6 (d) 1/7
31. 31.A bag has 2 white, 5 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/11 (b) 1/3 (c) 5/11 (d) 6/11
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
33. 33.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 3/8 (d) 1/4
34. 34.A bag has 4 red, 6 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/13 (b) 8/13 (c) 1/3 (d) 7/13
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
37. 37.A bag has 8 red, 9 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/14 (b) 14/23 (c) 1/3 (d) 9/23
38. 38.A bag has 6 blue, 7 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 11/18 (b) 7/18 (c) 1/3 (d) 2/3
39. 39.A bag has 8 white, 4 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 6/7 (b) 17/21 (c) 1/3 (d) 4/21
40. 40.A bag has 6 red, 7 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 7/10 (c) 1/3 (d) 3/10

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