Question

The table below represents the data collected at a sandwich shop for the last six months withrespect to the type of bread people ordered (sourdough or wheat) and whether or not theygot cheese on their sandwich.With cheeseWithout cheeseSourdough800425Wheat1200700What is the P(cheese | wheat)? Show all work to receive full credit. You can place your workin this box or attach it in the box on the final question.

Answer 1

Given:

The table represents the data collected at a sandwich shop for the last six months with respect to the type of bread

We will find P(cheese | wheat)

We will use the following formula:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Let A represents cheese, and B represents wheat

From the table:

$\begin{gathered} A\cap B=1200 \\ B=1200+700=1900 \end{gathered}$

So, the probability will be as follows;

$P\left(cheese|wheat\right)=\frac{1200}{1900}=\frac{12}{19}$

So, the answer will be:

P(cheese | wheat) = 12/19 = 0.63