Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 266 · 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) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
3. 3.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
4. 4.A bag has 8 yellow, 3 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/5 (b) 9/20 (c) 11/20 (d) 1/3
5. 5.A bag has 7 red, 7 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/10 (c) 7/10 (d) 3/4
6. 6.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 1/4 (d) 3/8
7. 7.A bag has 2 red, 4 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/7 (b) 3/7 (c) 3/4 (d) 1/3
8. 8.A bag has 6 white, 4 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 16/19 (c) 15/19 (d) 4/19
9. 9.A bag has 5 blue, 8 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/17 (b) 4/17 (c) 1/3 (d) 14/17
10. 10.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
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
12. 12.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
13. 13.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
14. 14.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
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
16. 16.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
17. 17.A bag has 4 white, 7 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/10 (b) 10/17 (c) 7/17 (d) 1/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
19. 19.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
21. 21.A bag has 5 red, 3 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/7 (b) 9/14 (c) 4/7 (d) 1/3
22. 22.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
23. 23.A bag has 5 blue, 5 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/7 (b) 5/14 (c) 9/14 (d) 1/3
24. 24.A bag has 4 white, 2 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/5 (b) 4/9 (c) 5/9 (d) 1/3
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
26. 26.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
27. 27.A bag has 6 yellow, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/3 (c) 7/18 (d) 1/2
28. 28.A bag has 8 green, 3 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/20 (c) 2/5 (d) 3/5
29. 29.A bag has 4 blue, 7 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/2 (b) 1/3 (c) 4/7 (d) 1/14
30. 30.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
31. 31.A bag has 2 white, 8 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
34. 34.A bag has 6 white, 6 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/3 (c) 4/7 (d) 3/7
35. 35.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
37. 37.A bag has 3 yellow, 9 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 1/4 (c) 1/5 (d) 1/3
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
39. 39.A bag has 2 red, 9 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 15/17 (c) 2/17 (d) 2/15
40. 40.A bag has 8 green, 6 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/11 (b) 6/17 (c) 11/17 (d) 1/3

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