Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 846 · 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 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
2. 2.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
3. 3.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
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/4 (d) 1/3
6. 6.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) 3/4 (d) 1/8
7. 7.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
8. 8.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
10. 10.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
11. 11.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
12. 12.A bag has 9 blue, 6 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/8 (b) 1/3 (c) 5/8 (d) 2/3
13. 13.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
14. 14.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
15. 15.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
18. 18.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 3/8 (d) 1/4
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 1/6 (d) 7/36
20. 20.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
21. 21.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
22. 22.A bag has 4 blue, 4 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/7 (b) 1/3 (c) 5/7 (d) 2/5
23. 23.A bag has 6 blue, 9 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/18 (b) 1/2 (c) 1/3 (d) 5/9
24. 24.A bag has 2 white, 3 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/7 (b) 1/3 (c) 11/14 (d) 3/14
25. 25.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 1/8 (d) 3/8
26. 26.A bag has 5 red, 2 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 14/15 (b) 13/15 (c) 2/15 (d) 1/3
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
28. 28.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
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
30. 30.A bag has 2 white, 7 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/9 (b) 5/14 (c) 1/3 (d) 9/14
31. 31.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
33. 33.A bag has 3 red, 8 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 2/3 (c) 11/18 (d) 7/18
34. 34.A bag has 2 yellow, 9 white and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/17 (b) 10/17 (c) 8/17 (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) 1/3 (c) 1/6 (d) 1/2
36. 36.A bag has 4 white, 4 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/2 (b) 9/16 (c) 1/3 (d) 1/16
37. 37.A bag has 2 red, 9 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 17/18 (c) 8/9 (d) 1/9
38. 38.A bag has 9 red, 4 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 3/5 (c) 1/3 (d) 2/3
39. 39.A bag has 5 red, 8 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/19 (b) 1/3 (c) 6/13 (d) 6/19
40. 40.A bag has 7 red, 5 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/8 (b) 7/15 (c) 8/15 (d) 1/3

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