Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 466 · 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 a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
4. 4.A bag has 7 green, 8 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/10 (c) 3/4 (d) 1/4
5. 5.A bag has 5 white, 8 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/22 (c) 7/11 (d) 13/22
6. 6.A bag has 8 blue, 6 red and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 14/17 (b) 1/3 (c) 3/17 (d) 3/14
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
8. 8.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 5/8 (d) 3/8
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
10. 10.A bag has 9 red, 2 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/19 (b) 17/19 (c) 1/3 (d) 2/17
11. 11.A bag has 3 yellow, 8 green and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/17 (b) 17/20 (c) 1/3 (d) 3/20
12. 12.A bag has 7 yellow, 6 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 11/17 (c) 6/17 (d) 12/17
13. 13.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
14. 14.A bag has 5 white, 4 red and 8 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 13/17 (c) 12/17 (d) 5/17
15. 15.A bag has 4 green, 4 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/3 (c) 4/5 (d) 1/4
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
17. 17.A bag has 9 blue, 5 red and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/8 (b) 1/3 (c) 1/7 (d) 7/8
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 7/36 (d) 1/11
19. 19.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
20. 20.A bag has 9 blue, 4 green and 5 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/9 (c) 1/18 (d) 1/2
21. 21.A bag has 6 blue, 2 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/16 (b) 1/3 (c) 9/16 (d) 1/2
22. 22.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
23. 23.A bag has 7 yellow, 4 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/5 (b) 4/5 (c) 1/3 (d) 17/20
24. 24.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
25. 25.A bag has 5 green, 2 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 10/11 (c) 2/11 (d) 9/11
26. 26.A bag has 4 green, 6 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/5 (b) 1/3 (c) 2/3 (d) 2/5
27. 27.A bag has 8 blue, 4 green and 8 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 3/5 (c) 1/3 (d) 2/5
28. 28.A bag has 3 yellow, 2 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/9 (b) 1/3 (c) 2/11 (d) 9/11
29. 29.A bag has 9 white, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/16 (b) 3/16 (c) 1/3 (d) 3/13
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
31. 31.A bag has 7 blue, 7 red and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 11/18 (c) 7/18 (d) 1/3
32. 32.A bag has 3 red, 9 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/17 (c) 8/17 (d) 10/17
33. 33.A bag has 3 yellow, 7 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/17 (c) 10/17 (d) 7/17
34. 34.A bag has 9 green, 4 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 13/17 (c) 14/17 (d) 4/17
35. 35.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/8 (d) 1/7
36. 36.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
37. 37.A bag has 4 blue, 3 green and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/10 (b) 7/10 (c) 1/3 (d) 3/7
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11

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