Question

claire owns a small business selling ice - cream. she knows that in the last week 32 customers paid cash, 3 customers used a debit card, and 35 customers used a credit card. based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.

Explanation:

Step1: Find total number of customers

To find the total number of customers, we add the number of customers who paid cash, used a debit card, and used a credit card. So, \( 32 + 3 + 35 = 70 \).

Step2: Calculate the probability

The probability of an event is the number of favorable outcomes (customers who used a debit card) divided by the total number of outcomes (total number of customers). The number of customers who used a debit card is 3, and the total number of customers is 70. So the probability is \( \frac{3}{70} \).

Answer:

\( \frac{3}{70} \)