Chapter EP, Problem 12.3.3EP

To determine

To find: The probability of the customer will order a salad.

Answer to Problem 12.3.3EP

The probability of the salad is $0.6842$ .

Explanation of Solution

Given information:

The given $95\%$ customer order pizza and $65\%$ order pizza and a salad.

Calculation:

Consider the event $A$ is customer order pizza and event $B$ is the customer order salad.

The condition probability of event $B$ such that event $A$ has already occurred.

Calculate the probability.

  $\begin{array}{c}P\left(A\right)=0.95\\ P\left(AandB\right)=0.65\end{array}$

  $\begin{array}{c}P\left(A/B\right)=\frac{P\left(AandB\right)}{P\left(A\right)}\\ =\frac{0.65}{0.95}\\ \approx 0.6842\end{array}$

Therefore, the probability of the salad is $0.6842$ .