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Two people are riding an elevator that can stop at floors two, three, …., and N....

Two people are riding an elevator that can stop at floors two, three, …., and N. What is the probability that they will get off at different floors?

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Answer #1

Number of ways they can get off at different floors = (N - 1)(N - 2)

Total number of ways = (N - 1)(N - 1)

Hence,

P(They will get off at different floors)

= (N - 2) / (N - 1)

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