Balls-Based Questions
1. A bag contains 5 red and 4 blue balls. If two balls are drawn one after another without replacement, what is the probability that both are red?
2. A box has 7 green, 3 yellow, and 5 black balls. If two balls are drawn without replacement, what is the probability that both are black?
3. A container has 6 white and 9 red balls. If two balls are picked without replacement, find the probability that one is white and the other is red.
4. A basket contains 8 blue and 10 pink balls. If two balls are drawn with replacement, find the probability that both are pink.
5. A bag has 12 balls: 5 black, 4 white, and 3 red. If two balls are selected without replacement, find the probability that both are white.
6. A box contains 10 red and 6 green balls. If three balls are drawn without replacement, what is the probability that all three are green?
7. A container has 15 blue and 5 yellow balls. If two balls are chosen with replacement, find the probability that one is blue and the other is yellow.
8. A bag has 6 white and 9 black balls. If two balls are drawn without replacement, find the probability that at least one is white.
9. A box contains 4 black, 6 red, and 8 blue balls. If two balls are drawn without replacement, what is the probability that both are black?
10. A basket has 7 orange and 5 purple balls. If three balls are drawn with replacement, find the probability that all are purple.
Number Card-Based Questions
11. A deck has cards numbered 1 to 40. If two cards are drawn without replacement, find the probability that both numbers are even.
12. A box contains cards numbered from 1 to 25. If two cards are selected without replacement, find the probability that both are prime numbers.
13. A deck has 50 cards numbered from 1 to 50. If two cards are drawn with replacement, what is the probability that both numbers are multiples of 5?
14. A stack contains 30 cards numbered from 1 to 30. If two cards are picked without replacement, find the probability that both are perfect squares.
15. A deck has cards numbered from 1 to 60. If two cards are selected without replacement, find the probability that one is even and the other is odd.
16. A set of 20 cards has numbers 1 to 20. If two cards are drawn without replacement, find the probability that both are multiples of 3.
17. A collection has 40 number cards. If two cards are drawn with replacement, find the probability that both are multiples of 7.
18. A deck contains numbers from 1 to 100. If two cards are picked without replacement, find the probability that both numbers are greater than 50.
19. A stack contains cards numbered 1 to 80. If two cards are drawn without replacement, find the probability that both are prime.
20. A deck of 30 cards contains numbers from 1 to 30. If two cards are picked without replacement, find the probability that both are odd.
Dice-Based Questions
21. A fair die is rolled twice. What is the probability of getting a 3 on the first roll and a 5 on the second roll?
22. Two dice are rolled. What is the probability that both show the same number?
23. A die is rolled three times. Find the probability that all rolls result in an even number.
24. Two dice are rolled. What is the probability that one die shows an even number and the other an odd number?
25. A die is rolled twice. What is the probability that the first roll is greater than the second roll?
26. A die is rolled twice. What is the probability that at least one roll results in a 6?
27. A die is rolled three times. What is the probability that the sum of the three rolls is at least 15?
28. Two dice are rolled. What is the probability that the sum is less than 5?
29. A die is rolled twice. What is the probability that the first roll is a multiple of 3 and the second is a multiple of 2?
30. Three dice are rolled. What is the probability that all three rolls show different numbers?
Coin-Based Questions
31. A coin is flipped twice. What is the probability of getting heads both times?
32. A coin is flipped three times. What is the probability of getting at least one tails?
33. Two coins are tossed. What is the probability of getting one head and one tail?
34. A coin is flipped four times. What is the probability of getting exactly two heads?
35. A coin is tossed three times. What is the probability of getting heads on the first toss and tails on the last toss?
36. A fair coin is flipped five times. What is the probability of getting at most three heads?
37. Two fair coins are tossed. What is the probability of getting no heads?
38. A coin is flipped six times. What is the probability of getting more heads than tails?
39. Three fair coins are tossed. What is the probability that all land on the same side?
40. Four coins are tossed. What is the probability of getting at least two tails?
Playing Cards-Based Questions
41. A standard deck of 52 cards is shuffled. If two cards are drawn without replacement, what is the probability that both are hearts?
42. A deck of 52 cards is shuffled. What is the probability of drawing a red card and then a black card?
43. Two cards are drawn without replacement from a deck of 52. What is the probability that both are face cards (J, Q, K)?
44. A deck of 52 cards is shuffled. If three cards are drawn without replacement, find the probability that all are spades.
45. Two cards are drawn without replacement from a standard deck. What is the probability of drawing a king and a queen?
46. A deck of 52 cards is shuffled. If two cards are drawn without replacement, what is the probability that both are aces?
47. A standard deck is shuffled. What is the probability that the first drawn card is a heart and the second is a diamond?
48. A deck of 52 cards is shuffled. If two cards are drawn without replacement, find the probability that one is a red card and the other is a face card.
49. Three cards are drawn without replacement from a standard deck. What is the probability that all are different suits?
50. A deck of 52 cards is shuffled. If two cards are drawn without replacement, what is the probability that at least one is a king?
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