Question

question: ava owns a small business selling clothing. she knows that in the last week 34 customers paid cash, 26 customers used a debit card, and 11 customers used a credit card. based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.

Explanation:

Step1: Calculate total number of customers

Total customers = 34 (total in last week) = 26 (debit - card users)+11 (credit - card users) + number of cash - only users. But we don't need the cash - only users for our probability calculation. The total number of card - using customers is \(26 + 11=37\). The total number of customers considered for payment method is 34.

Step2: Calculate probability of using debit card

The probability \(P\) of a customer using a debit card is given by the formula \(P=\frac{\text{Number of debit - card users}}{\text{Total number of customers}}\). Here, the number of debit - card users is 26 and the total number of customers is 34. So \(P=\frac{26}{34}\approx 0.7647\).

Step3: Convert to percentage and round

To convert the probability to a percentage, we multiply by 100: \(0.7647\times100 = 76.47\%\). Rounding to the nearest whole number, we get 76%.

Answer:

76%