Christian owns a small business selling bagels. He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card.

Question

Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answer 1

To find the probability that the next customer will pay with a credit card, we first need to calculate the total number of customers.

Based on the information provided:

• Number of customers who paid cash: 10
• Number of customers who used a debit card: 14
• Number of customers who used a credit card: 38

Now, we can calculate the total number of customers:

\[ \text{Total customers} = 10 + 14 + 38 = 62 \]

Next, we find the probability that the next customer will pay with a credit card. The probability can be calculated as the ratio of the number of customers who paid with a credit card to the total number of customers:

\[ \text{Probability (credit card)} = \frac{\text{Number of credit card customers}}{\text{Total customers}} = \frac{38}{62} \]

Now, we can simplify this fraction:

\[ \frac{38}{62} = \frac{19}{31} \]

Next, we convert this fraction to a decimal:

\[ 19 \div 31 \approx 0.6129032258 \]

Rounding this to the nearest hundredth gives us:

\[ 0.61 \]

Thus, the probability that the next customer will pay with a credit card, expressed as a decimal to the nearest hundredth, is:

\[ \boxed{0.61} \]