Probabilistic Reasoning Practice Questions

1. A fair coin is tossed 20 times. What is the probability of getting at least 15 heads?

2. A bag contains 7 white balls and 5 black balls. Three balls are drawn at random without replacement. What is the probability that exactly two of the balls are white?

3. If you draw two cards from a standard deck of 52 cards without replacement, what is the probability that both are aces?

4. In a standard deck of 52 cards, what is the probability of drawing a king or a spade?

5. A fair coin is tossed 10 times. What is the probability of getting exactly 5 heads?

6. If the probability of an event A is 0.4 and the probability of event B is 0.5, what is the minimum possible probability of both events occurring?

7. A fair six-sided die is rolled five times. What is the probability of getting exactly two 6's?

8. In a standard deck of 52 cards, what is the probability of drawing a face card (Jack, Queen, or King)?

9. A bag contains 6 red marbles and 8 blue marbles. If you draw two marbles without replacement, what is the probability that they are of different colors?

10. If you roll a fair six-sided die three times, what is the probability of rolling at least one 6?