Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 759 · 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 8? (a) 5/36 (b) 1/6 (c) 1/11 (d) 5/11
2. 2.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
3. 3.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
4. 4.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
5. 5.A bag has 3 red, 5 green and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/17 (c) 10/17 (d) 9/17
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
8. 8.A bag has 9 blue, 6 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 9/19 (c) 11/19 (d) 10/19
9. 9.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
10. 10.A bag has 4 green, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/9 (b) 1/3 (c) 4/5 (d) 5/9
11. 11.A bag has 6 white, 3 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/14 (b) 5/9 (c) 9/14 (d) 1/3
12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 5/8 (d) 1/4
13. 13.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
14. 14.A bag has 6 white, 9 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/18 (b) 5/9 (c) 1/2 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
16. 16.A bag has 8 yellow, 3 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/8 (c) 5/13 (d) 8/13
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
18. 18.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
19. 19.A bag has 3 green, 3 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/3 (c) 2/5 (d) 3/5
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
21. 21.A bag has 3 green, 6 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 1/3 (c) 5/7 (d) 5/14
22. 22.A bag has 9 blue, 5 green and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/7 (c) 7/10 (d) 3/10
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
24. 24.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
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 fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
27. 27.A bag has 5 red, 9 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/16 (c) 7/16 (d) 5/8
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
29. 29.A bag has 9 white, 4 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 17/21 (b) 4/17 (c) 1/3 (d) 4/21
30. 30.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
31. 31.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
32. 32.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
34. 34.A bag has 5 green, 2 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/12 (b) 5/12 (c) 5/7 (d) 1/3
35. 35.A bag has 3 yellow, 6 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 4/9 (c) 9/13 (d) 4/13
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
37. 37.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
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
40. 40.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

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