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A group of 10 people simultaneously enter an elevator at the ground oor. There are 25...

A group of 10 people simultaneously enter an elevator at the ground oor. There are 25 upper doors. The persons choose their exit doors independently of each other. Assume each person randomly chooses one of the 25 oors as the exit oor, and no other people enter the elevator at any of the 25 oors. What is the expected value of the number of stops the elevator will make?

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Answer #1

m people and r doors/floors

here m = 10 , r = 25

expected value of the number of stops the elevator will make = 25 - 25 * (24/25)^10

= 8.379184

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