Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 416 · 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 at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/8
2. 2.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
3. 3.A bag has 3 yellow, 2 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/11 (b) 1/3 (c) 9/11 (d) 8/11
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
5. 5.A bag has 2 white, 3 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 2/5 (c) 2/7 (d) 5/7
6. 6.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
7. 7.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
8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
10. 10.A bag has 2 green, 5 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/14 (b) 5/14 (c) 5/9 (d) 1/3
11. 11.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/4 (d) 1/8
12. 12.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
13. 13.A bag has 3 blue, 3 red and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/6 (b) 6/11 (c) 1/3 (d) 5/11
14. 14.A bag has 7 yellow, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 11/18 (b) 7/18 (c) 2/3 (d) 1/3
15. 15.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
16. 16.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
19. 19.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
20. 20.A bag has 6 yellow, 8 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/7 (b) 7/10 (c) 1/3 (d) 3/10
21. 21.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
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
23. 23.A bag has 3 yellow, 2 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/8 (b) 3/5 (c) 1/3 (d) 3/8
24. 24.A bag has 5 green, 4 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/11 (b) 9/11 (c) 2/9 (d) 1/3
25. 25.A bag has 9 blue, 3 green and 5 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/17 (b) 1/3 (c) 8/17 (d) 10/17
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
27. 27.A bag has 6 green, 9 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 10/17 (c) 9/17 (d) 8/17
28. 28.A bag has 7 green, 4 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/12 (b) 1/3 (c) 12/19 (d) 7/19
29. 29.A bag has 3 white, 7 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/2 (b) 4/7 (c) 1/14 (d) 1/3
30. 30.A bag has 8 yellow, 4 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/19 (b) 1/3 (c) 16/19 (d) 15/19
31. 31.A bag has 8 blue, 7 red and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/19 (b) 1/3 (c) 7/12 (d) 12/19
32. 32.A bag has 4 white, 3 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/13 (c) 4/9 (d) 9/13
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
34. 34.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
36. 36.A bag has 6 red, 9 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/7 (b) 1/3 (c) 3/4 (d) 3/7
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
39. 39.A bag has 3 yellow, 4 green and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/10 (b) 1/3 (c) 3/7 (d) 3/10
40. 40.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

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