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# Probability: Expected Time for $$n$$ people to leave an elevator

I wondered about this when thinking about a more specific case. Consider that 3 people are all on an elevator and each person is equally likely to stay or exit the elevator at each stop. (So, for example, the elevator could stop while no one leaves). What is the expected number of stops before everyone leaves the elevator?

From this, I wanted to determine the expected number of stops for $$n$$ people to leave the elevator. Anyone have any ideas?

Probability
Expected Value
Random Variable

Note by Oli Hohman
6 months, 2 weeks ago

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