Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 296 · 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.A bag has 4 blue, 2 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/7 (b) 3/7 (c) 3/4 (d) 1/3
2. 2.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/8 (c) 1/4 (d) 1/7
3. 3.A bag has 4 yellow, 2 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/11 (b) 1/3 (c) 7/11 (d) 8/11
4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
6. 6.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
7. 7.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) 3/8 (d) 1/8
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
9. 9.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
10. 10.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
11. 11.A bag has 9 red, 4 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/15 (b) 2/13 (c) 13/15 (d) 1/3
12. 12.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
13. 13.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
14. 14.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 5/8 (d) 1/4
15. 15.A bag has 2 yellow, 2 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/3 (b) 1/2 (c) 5/12 (d) 1/3
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) 1/3 (c) 1/2 (d) 2/3
17. 17.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
18. 18.A bag has 5 yellow, 8 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/17 (c) 14/17 (d) 13/17
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
20. 20.A bag has 3 blue, 4 red and 4 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/8 (c) 3/11 (d) 8/11
21. 21.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
22. 22.A bag has 7 red, 4 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/9 (c) 4/13 (d) 9/13
23. 23.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
24. 24.A bag has 6 yellow, 8 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/17 (b) 1/3 (c) 11/17 (d) 12/17
25. 25.A bag has 8 white, 2 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/2 (c) 2/3 (d) 5/12
26. 26.A bag has 4 green, 7 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 1/3 (c) 2/5 (d) 2/7
27. 27.A bag has 7 green, 5 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/17 (b) 1/3 (c) 13/17 (d) 5/17
28. 28.A bag has 2 green, 8 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/2 (b) 5/12 (c) 1/3 (d) 2/3
29. 29.A bag has 6 blue, 4 green and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/3 (c) 1/15 (d) 11/15
30. 30.A bag has 2 green, 6 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 15/16 (b) 1/3 (c) 7/8 (d) 1/8
31. 31.A bag has 6 blue, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/11 (b) 1/3 (c) 11/17 (d) 6/17
32. 32.A bag has 6 red, 6 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/17 (b) 5/17 (c) 1/3 (d) 13/17
33. 33.A bag has 8 green, 7 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 8/23 (c) 15/23 (d) 8/15
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
35. 35.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
36. 36.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
37. 37.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 1/4 (d) 3/8
38. 38.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
39. 39.A bag has 6 blue, 4 green and 8 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/18 (b) 2/3 (c) 13/18 (d) 1/3
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9

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