Question

Four passengers enter an elevator. There are four floors at which they can get off. The floors at which the passengers get off are independent. Each passenger is as likely to get off at any one floor as at any other floor. What is the probability that: a. All passengers get off at the same floor? b. All get off at different floors?

c. Three get off at one floor and one at another? d. Two get off at one floor and two at another?

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