Question: Three people get into an elevator on the main floor of a building that has 6 floors (this building has 5 floors above the ground-level).

Three people get into an elevator on the main floor of a building that has 6 floors (this building has 5 floors above the ground-level). Assuming that each of the three people will get off the elevator on one of floors 2 through 6, and each does so randomly.

Part (a)What is the probability that the three people get off on the 4th floor?

(use four decimals)Part (b)What is the probability that the three people get off on the same floor?

(use four decimals)Part (c)What is that at least two of the three people get off on the same floor?

(use four decimals)Part (d)What is the probability that exactly two of the three people get off on the same floor?

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