Question: A building has two elevators: one for the first two floors only, and the other for floors three to five. Two persons enter the building

A building has two elevators: one for the first two floors only, and the other for floors three to five. Two persons enter the building and they both take the second elevator.

(i) Write down all nine possible outcomes in the form (i, j), where i denotes the floor that the first person will exit the elevator and j denotes the floor that the second person will exit the elevator.

(ii) Assuming that all nine outcomes are equiprobable, what is the probability that the two persons will exit the elevator in different floors?

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