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Riley owns a small business selling clothing. She knows that in the last week 88 customers paid cash, 17 customers used a debit card, and 3 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.
Answer:

Riley owns a small business selling clothing. She knows that in the last week $88$ customers paid cash, $17$ customers used a debit card, and $3$ customers used a credit card. $\newline$ Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number. $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. Riley owns a small business selling clothing. She knows that in the last week

88

customers paid cash,

17

customers used a debit card, and

3

customers used a credit card.

\newline

Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.

\newline

Answer:

Calculate Total Customers: Calculate the total number of customers from last week. $\newline$ Total customers $= \text{Number of customers who paid cash} + \text{Number of customers who used a debit card} + \text{Number of customers who used a credit card}$ $\newline$ Total customers $= 88 \text{ (cash)} + 17 \text{ (debit card)} + 3 \text{ (credit card)}$ $\newline$ Total customers $= 108$
Calculate Probability: Calculate the probability that the next customer will pay with cash. $\newline$ Probability (Paying with cash) = $\frac{\text{Number of customers who paid cash}}{\text{Total number of customers}}$ $\newline$ Probability (Paying with cash) = $\frac{88}{108}$
Convert to Percent: Convert the probability to a percent. $\newline$ Probability (Paying with cash) as a percent = $(\text{Probability (Paying with cash)}) \times 100\%$ $\newline$ Probability (Paying with cash) as a percent = $\frac{88}{108} \times 100\%$ $\newline$ Probability (Paying with cash) as a percent \approx $81.48\%$
Round Probability: Round the probability to the nearest whole number. $\newline$ Rounded probability = $81\%$

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