Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 947 · 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 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
4. 4.A bag has 3 blue, 8 white and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 11/13 (c) 2/11 (d) 2/13
5. 5.A bag has 2 white, 8 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/7 (b) 9/14 (c) 1/3 (d) 3/7
6. 6.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
7. 7.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
11. 11.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
12. 12.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
13. 13.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
14. 14.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
15. 15.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/5 (d) 3/8
16. 16.A bag has 9 blue, 2 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/19 (b) 1/3 (c) 12/19 (d) 11/19
17. 17.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
18. 18.A bag has 8 yellow, 8 green and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/11 (b) 3/8 (c) 1/3 (d) 3/11
19. 19.A bag has 8 red, 2 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/7 (c) 4/7 (d) 3/4
20. 20.A bag has 4 red, 4 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/11 (b) 11/15 (c) 4/15 (d) 1/3
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
22. 22.A bag has 4 blue, 3 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 1/3 (c) 2/3 (d) 1/12
23. 23.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
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
25. 25.A bag has 3 yellow, 5 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/7 (b) 1/3 (c) 5/14 (d) 9/14
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
28. 28.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
29. 29.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 7/8 (d) 3/8
30. 30.A bag has 5 blue, 2 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/10 (b) 3/10 (c) 1/3 (d) 3/7
31. 31.A bag has 3 white, 8 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/7 (b) 1/3 (c) 3/14 (d) 11/14
32. 32.A bag has 4 blue, 5 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 2/5 (c) 3/5 (d) 1/3
33. 33.A bag has 2 yellow, 3 green and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/11 (c) 2/13 (d) 11/13
34. 34.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
35. 35.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/4 (d) 1/8
36. 36.A bag has 7 green, 7 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/10 (b) 1/3 (c) 3/4 (d) 7/10
37. 37.A bag has 7 green, 3 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/5 (c) 1/5 (d) 1/4
38. 38.A bag has 7 white, 4 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/17 (b) 1/3 (c) 14/17 (d) 13/17
39. 39.A bag has 3 red, 2 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/5 (b) 1/2 (c) 1/3 (d) 1/10
40. 40.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3

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