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April 8, 2024

UT Craps Game Probabilities Discussion

The game of Craps starts with a player tossing a pair of dice. If dice add up to 2 or 3 or 12, the player’s turn is up and they “crap out”. You are determined to win at this game. (a) What is the probability that you crap out on your next turn? (b) What is the probability that you crap out on your next four turns? (c) If you have crapped out on your last three turns, what is the probability that you do not crap out on your next turn? (d) What is the probability that you crap out on two of your next three turns?

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