Probability Worksheet for Class 8 Maths Olympiad

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

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