five people check identical suitcases before boarding an airplane. at the baggage claim, each person takes one of the five suitcases at random. what is the probability that every person ends up with the wrong suitcase?

5% probability is there that every person ends up with the wrong suitcase.

Given,

Number of people checked in = 5

Number of suitcases = 5

We have to find the probability that when each person taken a suitcase randomly and it ends up with the wrong suitcase;

Here,

5 people can take 5 suitcases in 5 different ways.

So,

Probability = possible outcomes / original outcome

Probability = 5 x 5 / 5

Probability = 25/5 = 5

That is,

The probability that every person ends up with the wrong suitcase is 5%

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