Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 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 something other than a credit card as a decimal to the nearest hundredth.
Question
Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 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 something other than a credit card as a decimal to the nearest hundredth.
Solution
Step 1: First, we need to find the total number of customers. We do this by adding the number of customers who paid with cash, debit card, and credit card.
52 (cash) + 20 (debit card) + 11 (credit card) = 83 customers in total.
Step 2: Next, we need to find the number of customers who paid with something other than a credit card. This is the total number of customers minus the number of customers who used a credit card.
83 (total customers) - 11 (credit card) = 72 customers.
Step 3: The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is a customer paying with something other than a credit card, and the total number of outcomes is the total number of customers.
So, the probability is 72 (favorable outcomes) ÷ 83 (total outcomes) = 0.8674698795180723.
Step 4: Finally, we need to express this probability as a decimal to the nearest hundredth. This means we need to round the decimal to two places after the decimal point.
So, the final answer is 0.87. This means that there is a 0.87 probability that the next customer will pay with something other than a credit card.
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