Question

There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor

Answer 1

The probability that each person gets off on a different floor is; 3/32

How to find the Probability?

We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;

Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways

Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;

P(each person gets off on a different floor) = 24/256 = 3/32

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