Medium
Probability Puzzles
Probability and uncertainty-based mathematical puzzles.
Probability Puzzles Puzzles
Medium
A standard six-sided die is rolled once. What is the probability of getting a number greater than 4?
Hard
Two fair coins are tossed. What is the probability of getting exactly one head?
Hard
A bag contains 4 red balls and 6 blue balls. One ball is selected at random. What is the probability of selecting a red ball?
Expert
A standard deck has 52 cards. What is the probability of drawing an ace on one random draw?
Medium
A bag contains 5 red balls and 5 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
Medium
A bag contains 4 red and 6 blue balls. Two balls are drawn without replacement. What is the probability that both are blue?
Medium
Two fair dice are rolled. What is the probability that the sum is 7?
Medium
Two fair dice are rolled. What is the probability that both dice show the same number?
Hard
Three fair coins are tossed. What is the probability of getting at least one head?
Hard
Four fair coins are tossed. What is the probability of getting exactly two heads?
Hard
A card is drawn from a standard 52-card deck. What is the probability that it is either a heart or a king?
Hard
A standard deck contains 52 cards. What is the probability of drawing two aces consecutively without replacement?
Expert
Two fair dice are rolled. What is the probability that the first die is greater than the second die?
Hard
A bag contains 3 red, 4 blue and 5 green balls. One ball is selected at random. What is the probability that it is not blue?
Medium
A bag contains 4 red balls and 6 blue balls. Two balls are drawn without replacement. What is the probability that both are red?
Hard