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Courtney, Nick and Jarrod are playing special version of Monopoly. Because the three of them are...

Courtney, Nick and Jarrod are playing special version of Monopoly. Because the three of them are all scoundrels, they are all currently in Jail. In Monopoly, players roll two 6-sided dice on their turn. In their version of Monopoly, however, to get out of Jail, a player must roll doubles (the two dice have the same outcome) and must keep re-rolling the dice until they get doubles during their first turn in Jail. As soon as a player rolls doubles, they are let out of Jail and their turn ends. Let DD represent the event that a player rolls doubles.

Part A: What is the probability that a player will roll doubles on their first, second, or third roll while in jail? Note that if a player rolls doubles on their third roll, for example, then they must not have rolled doubles on either of the first two rolls. Keep 4 decimal places in your answer.

math   Statistics-And-Probability   
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