Question

aaden owns a small business selling used books. he knows that in the last week 87 customers paid cash, 5 customers used a debit card, and 24 customers used a credit card. based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.

Explanation:

Step1: Calculate total number of customers

Total customers = Cash - paying customers + Debit - card - using customers + Credit - card - using customers.
So, total customers \(=87 + 5+24=116\).

Step2: Calculate probability of cash - paying customers

Probability \(P=\frac{\text{Number of cash - paying customers}}{\text{Total number of customers}}\).
\(P=\frac{87}{116}\).

Step3: Convert probability to percentage

\(P=\frac{87}{116}\times100\%\).
\(\frac{87\times100}{116}=\frac{8700}{116}\approx75\%\)

Answer:

\(75\%\)