Probability Worksheet for Class 8 Maths Olympiad

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

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