Q. 2.39 - A First Course in Probability

Question

There are $5$hotels in a certain town. If $3$people check

into hotels in a day, what is the probability that they each check into a different hotel? What assumptions are you making?

Step-by-Step Solution

Answer

the probability that they each check into a different hotel is 0.48.

Step 1 Given Information.

There are $5$hotels in a certain town. If $3$people check

into hotels in a day.

Step 2 Explanation.

$\left[5\mathrm{Cl}{}^{*}4{\mathrm{Cl}}^{*}3{\mathrm{Cl}}^{*}\right]/\left[5^{*}{5}^{*}5\right]$

$=\left[5*4{}^{*}3\right]/125$

$=60 / 125$

$=0.48$