Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 616 · 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.A bag has 3 red, 7 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/14 (b) 1/3 (c) 6/7 (d) 11/14
2. 2.A bag has 7 red, 5 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 1/4 (c) 5/16 (d) 1/3
3. 3.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
4. 4.A bag has 2 blue, 4 white and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 4/7 (c) 1/3 (d) 9/14
5. 5.A bag has 3 yellow, 9 white and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/7 (b) 1/3 (c) 6/7 (d) 1/6
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
7. 7.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
8. 8.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
9. 9.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
10. 10.A bag has 3 red, 6 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 13/16 (c) 3/16 (d) 3/13
11. 11.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 2/3 (c) 1/4 (d) 1/3
12. 12.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 1/8 (d) 3/8
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
14. 14.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
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
18. 18.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 7/8 (c) 1/7 (d) 1/4
19. 19.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
20. 20.A bag has 8 yellow, 4 red and 5 white 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
21. 21.A bag has 5 yellow, 5 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/15 (b) 1/15 (c) 2/3 (d) 1/3
22. 22.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
23. 23.A bag has 2 yellow, 5 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/3 (b) 1/3 (c) 1/15 (d) 11/15
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
25. 25.A bag has 3 yellow, 8 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/5 (b) 11/15 (c) 1/3 (d) 4/15
26. 26.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
28. 28.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
29. 29.A bag has 3 green, 3 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/12 (c) 7/12 (d) 1/2
30. 30.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
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
32. 32.A bag has 4 red, 6 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/15 (b) 11/15 (c) 1/3 (d) 4/11
33. 33.A bag has 3 green, 3 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/13 (b) 1/3 (c) 3/10 (d) 3/13
34. 34.A bag has 9 green, 3 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
35. 35.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
36. 36.A bag has 6 green, 3 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/14 (b) 5/14 (c) 5/7 (d) 1/3
37. 37.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/18 (d) 1/12
39. 39.A bag has 3 blue, 3 white and 3 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 1/2 (c) 1/3 (d) 4/9
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36

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