Question

View question below. Write your answer as a decimal(not a percentage)

Answer 1

Solution

We draw a venn diagram to illustrate the information

Without the loss of generality

From the question we have that

$\begin{gathered} n(C\cup Ch)=78 \\ \\ 58-x+x+57-x=78 \\ \\ 115-x=78 \\ \\ x=115-78 \\ \\ x=37 \end{gathered}$

Therefore, the probability that a chosen customer carries both cash and checks is

$\begin{gathered} p=\frac{37}{100} \\ \\ p=0.37 \end{gathered}$

The answer is

$0.37$