Probabilistic Reasoning Practice Questions

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

2. If you flip a fair coin 4 times, what is the probability of getting exactly 3 heads?

3. In a group of 70 people, 40 like coffee, 35 like tea, and 15 like both. What is the probability that a randomly selected person likes neither coffee nor tea?

4. A bag contains 8 red marbles, 6 blue marbles, and 4 green marbles. Two marbles are drawn at random without replacement. What is the probability that both marbles are of the same color?

5. In a group of 20 people, 12 like coffee and 15 like tea. If 3 people like neither coffee nor tea, how many like both?

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

7. If the probability of an event A is 0.6 and the probability of event B is 0.5, what is the maximum possible probability of both events occurring?

8. A fair coin is tossed 6 times. What is the probability of getting exactly 4 heads?

9. A fair six-sided die is rolled six times. What is the probability of getting exactly three 4's?

10. If you draw a card from a standard deck of 52 cards, what is the probability of drawing a red face card?