Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 484 · 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) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
2. 2.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
3. 3.A bag has 6 white, 6 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 4/7 (c) 1/3 (d) 3/7
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 bag has 6 blue, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 14/19 (b) 1/3 (c) 5/14 (d) 5/19
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
7. 7.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 3/5 (d) 5/8
8. 8.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
9. 9.A bag has 4 green, 6 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/13 (c) 11/13 (d) 10/13
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
11. 11.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
12. 12.A bag has 8 blue, 2 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 4/7 (c) 1/3 (d) 3/7
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
14. 14.A bag has 4 white, 2 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/7 (c) 11/14 (d) 5/7
15. 15.A bag has 8 red, 8 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/21 (b) 1/3 (c) 13/21 (d) 8/13
16. 16.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
17. 17.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
18. 18.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
20. 20.A bag has 6 red, 5 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/14 (c) 5/7 (d) 9/14
21. 21.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
22. 22.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 3/4 (d) 1/4
23. 23.A bag has 6 yellow, 6 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/7 (b) 2/7 (c) 1/3 (d) 2/5
24. 24.A bag has 7 green, 8 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/10 (b) 3/4 (c) 1/3 (d) 1/4
25. 25.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
26. 26.A bag has 3 green, 7 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 1/3 (c) 2/3 (d) 1/2
27. 27.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
28. 28.A bag has 2 blue, 2 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/7 (b) 4/11 (c) 1/3 (d) 7/11
29. 29.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
30. 30.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
31. 31.A bag has 4 blue, 6 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/13 (c) 3/10 (d) 10/13
32. 32.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
34. 34.A bag has 6 red, 4 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/13 (b) 13/17 (c) 4/17 (d) 1/3
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/4 (c) 5/6 (d) 1/3
36. 36.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 7/8 (d) 1/8
37. 37.A bag has 7 white, 6 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/22 (c) 13/22 (d) 9/13
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
39. 39.A bag has 5 blue, 3 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/8 (b) 1/3 (c) 13/16 (d) 3/16
40. 40.A bag has 4 yellow, 7 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/13 (b) 11/13 (c) 2/11 (d) 1/3

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