Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 478 · 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.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
4. 4.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/4
5. 5.A bag has 6 white, 3 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/13 (b) 6/13 (c) 1/3 (d) 6/7
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
7. 7.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
10. 10.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
11. 11.A bag has 5 yellow, 9 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/16 (b) 3/4 (c) 1/3 (d) 11/16
12. 12.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
13. 13.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
14. 14.A bag has 7 white, 2 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 15/17 (b) 16/17 (c) 2/17 (d) 1/3
15. 15.A bag has 3 red, 9 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/4 (c) 5/16 (d) 3/4
16. 16.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
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
18. 18.A bag has 7 green, 3 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/3
19. 19.A bag has 9 blue, 4 green and 7 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/20 (b) 9/11 (c) 1/3 (d) 9/20
20. 20.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
22. 22.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
23. 23.A bag has 2 yellow, 7 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 13/15 (c) 2/15 (d) 14/15
24. 24.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
25. 25.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
26. 26.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
27. 27.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
28. 28.A bag has 7 red, 2 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 15/17 (b) 2/15 (c) 2/17 (d) 1/3
29. 29.A bag has 4 yellow, 9 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 2/9 (c) 7/9 (d) 5/6
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
32. 32.A bag has 6 yellow, 7 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/13 (b) 13/21 (c) 8/21 (d) 1/3
33. 33.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
34. 34.A bag has 6 red, 3 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/14 (c) 9/14 (d) 5/9
35. 35.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 1/4 (d) 7/8
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
37. 37.A bag has 4 white, 7 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/5 (b) 1/3 (c) 4/5 (d) 17/20
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
39. 39.A bag has 8 white, 9 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 17/24 (b) 7/17 (c) 1/3 (d) 7/24
40. 40.A bag has 3 yellow, 6 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 3/5 (c) 2/5 (d) 1/3

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