Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 402 · 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 2? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
3. 3.A bag has 7 yellow, 4 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/15 (c) 7/8 (d) 7/15
4. 4.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
6. 6.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
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
8. 8.A bag has 3 red, 2 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 5/7 (c) 6/7 (d) 2/7
9. 9.A bag has 2 white, 6 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 16/17 (b) 15/17 (c) 1/3 (d) 2/17
10. 10.A bag has 8 yellow, 3 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/16 (b) 1/2 (c) 1/3 (d) 9/16
11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
13. 13.A bag has 4 yellow, 4 green and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/11 (b) 4/11 (c) 4/7 (d) 1/3
14. 14.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
17. 17.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/11 (c) 1/12 (d) 2/11
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 3/8 (d) 1/4
22. 22.A bag has 7 yellow, 9 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/16 (b) 1/3 (c) 5/21 (d) 16/21
23. 23.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
24. 24.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
26. 26.A bag has 2 blue, 6 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/11 (b) 6/11 (c) 5/6 (d) 1/3
27. 27.A bag has 6 yellow, 4 red and 4 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/7 (b) 3/7 (c) 1/3 (d) 3/4
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
30. 30.A bag has 3 yellow, 3 red and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/8 (b) 3/5 (c) 1/3 (d) 3/8
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
32. 32.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
33. 33.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
34. 34.A bag has 8 blue, 3 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/9 (b) 1/3 (c) 5/9 (d) 11/18
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 1/11 (d) 6/11
36. 36.A bag has 3 green, 9 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/6 (c) 8/9 (d) 5/6
37. 37.A bag has 4 red, 6 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/8 (b) 1/3 (c) 3/8 (d) 11/16
38. 38.A bag has 2 yellow, 8 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/11 (b) 11/13 (c) 1/3 (d) 2/13
39. 39.A bag has 7 red, 7 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/3 (c) 8/21 (d) 1/2
40. 40.A bag has 7 blue, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 15/17 (b) 1/3 (c) 14/17 (d) 3/17

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