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You and friends go to the gym to play badminton. There are 4 courts, and only your group is waiting. Suppose each group on court

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You and friends go to the gym to play badminton. There are 4 courts, and only your group is waiting. Suppose each group on court plays an exponen- tial random time with mean 20 minutes. What is the probability that your group is the last to hit the shower?

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