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Probability

Two passenger...

Question

Two passengers get into an elevator on the ground floor of a 20 floor building. What is the probability that they will get down at different floors?

A

\frac{19}{20}

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B

\frac{1}{20}

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C

\frac{1}{2}

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D

None of these

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Solution

The correct option is A $\frac{19}{20}$
Probability of both getting down on the same floor
$= \frac{1}{20}$
Hence probability of both getting down on different floors will be
$= 1 -$ (Probability of both getting down on the same floor).
$= 1 - \frac{1}{20}$

$= \frac{19}{20}$

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