Chapter 11.6, Problem 31E

To determine

To calculate: the probability of that the waiter serve the correct meal to each person.

Answer to Problem 31E

the probability of that the waiter serve the correct meal to each person is $\frac{1}{120}$ .

Explanation of Solution

Given :

Total orders = $5$

Formula used:

  $n!=n·\left(n-1\right)·\mathrm{.....1}$

Calculation : the total possibilities to serve the order is-

  $\begin{array}{l}5!=5·4·3·2·1\text{ [substitue n by 5]}\\ \text{5!=120}\end{array}$

To find the probability divide the no of correct serve by total possibility, because he have to serve all the correct so there is only one possibility to do this,

Probability = $\frac{1}{120}$

Hence,the probability of that the waiter serve the correct meal to each person is $\frac{1}{120}$ .