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Mathematics, 29.05.2020 19:58 anniebear

In the game of Monopoly, players roll a pair of distinguishable, fair dice on each turn. Each time the player rolls doubles (both dice show the same number) then the player gets to roll again and continue their turn. If a player rolls three doubles in a row on the same turn, they are sent to Jail. With the understanding that each roll of the dice is independent, what is the probability of going to Jail by rolling three consecutive doubles? Express your answer as a fraction in lowest terms [4 points]

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