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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 8888 customers paid cash, 1717 customers used a debit card, and 33 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.\newlineAnswer:

Full solution

Q. Riley owns a small business selling clothing. She knows that in the last week 8888 customers paid cash, 1717 customers used a debit card, and 33 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.\newlineAnswer:
  1. Calculate Total Customers: Calculate the total number of customers from last week.\newlineTotal customers =Number of customers who paid cash+Number of customers who used a debit card+Number of customers who used a credit card= \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}\newlineTotal customers =88 (cash)+17 (debit card)+3 (credit card)= 88 \text{ (cash)} + 17 \text{ (debit card)} + 3 \text{ (credit card)}\newlineTotal customers =108= 108
  2. Calculate Probability: Calculate the probability that the next customer will pay with cash.\newlineProbability (Paying with cash) = Number of customers who paid cashTotal number of customers\frac{\text{Number of customers who paid cash}}{\text{Total number of customers}}\newlineProbability (Paying with cash) = 88108\frac{88}{108}
  3. Convert to Percent: Convert the probability to a percent.\newlineProbability (Paying with cash) as a percent = (Probability (Paying with cash))×100%(\text{Probability (Paying with cash)}) \times 100\%\newlineProbability (Paying with cash) as a percent = 88108×100%\frac{88}{108} \times 100\%\newlineProbability (Paying with cash) as a percent \approx 81.48%81.48\%
  4. Round Probability: Round the probability to the nearest whole number.\newlineRounded probability = 81%81\%

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