Question

Landon owns a small business selling clothing. He knows that in the last week, 58 customers paid cash, 61 customers used a debit card, and 13 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.

Answer 1

The probability that the next customer will pay with a credit card is 13/132. Total customers are 132, and 13 used a credit card. The fraction 13/132 is already in its simplest form.

Step-by-step explanation:

Landon owns a small business selling clothing and wants to know the probability that the next customer will pay with a credit card. To find this probability, we need to look at the total number of transactions and the number that were specifically made using a credit card. The total number of customers is the sum of those who paid by cash, debit card, and credit card, which is 58 customers paying cash, 61 with a debit card, and 13 with a credit card.

First, we find the total number of customers: 58 + 61 + 13 = 132 customers in total.

Next, to find the probability that the next customer will use a credit card, we divide the number of credit card payments by the total number of transactions: Probability = 13 / 132.

This fraction can be simplified by dividing both the numerator and the denominator by the greatest common divisor, which in this case is 1 (since 13 is a prime number and not divisible by any of 132's factors besides 1). So, the simplified fraction remains 13/132, which is the probability in simplest form that the next customer will pay with a credit card.