Probability Puzzles

What’s inside

• In the Monty Hall problem, after you choose one of three doors and the host reveals a goat behind another door, what…
• Two fair six-sided dice are rolled. What is the probability that their sum is 9?
• A fair coin is tossed three times. What is the probability of getting at least one head?
• An urn contains 2 red balls and 3 blue balls. Two balls are drawn without replacement. What is the probability that…
• The probability of getting exactly two heads in four tosses of a fair coin is [____].
• The expected value of a single roll of a fair six-sided die is [____].
• When drawing one card from a standard 52-card deck, the probability of drawing an ace or a king is [____].
• For three randomly selected people, assuming 365 equally likely birthdays, the probability that at least two share a…