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Fawzia owns a small business selling used books. She knows that in the last week 45 customers paid cash, 10 customers used a debit card, and 64 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth. Answer:

Fawzia owns a small business selling used books. She knows that in the last week 4545 customers paid cash, 1010 customers used a debit card, and 6464 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Fawzia owns a small business selling used books. She knows that in the last week 4545 customers paid cash, 1010 customers used a debit card, and 6464 customers used a credit card.\newlineBased on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.\newlineAnswer:
  1. Determine total number of customers: Determine the total number of customers.\newlineTo find the probability of a single event, we need to know the total number of events. In this case, we add the number of customers who paid with each method to find the total number of customers.\newlineTotal number of customers == Number of customers who paid cash ++ Number of customers who used a debit card ++ Number of customers who used a credit card\newlineTotal number of customers =45+10+64= 45 + 10 + 64
  2. Calculate total number of customers: Calculate the total number of customers.\newlineNow we perform the addition from Step 11 to find the total number of customers.\newlineTotal number of customers = 45+10+6445 + 10 + 64\newlineTotal number of customers = 119119
  3. Calculate probability for debit card payment: Calculate the probability that the next customer will pay with a debit card. The probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcomes are the number of customers who used a debit card, and the total number of possible outcomes is the total number of customers. Probability (Paying with debit card) = Number of customers who used a debit cardTotal number of customers\frac{\text{Number of customers who used a debit card}}{\text{Total number of customers}} Probability (Paying with debit card) = 10119\frac{10}{119}
  4. Convert probability to decimal: Convert the probability to a decimal.\newlineTo express the probability as a decimal, we perform the division from Step 33.\newlineProbability (Paying with debit card) = 10119≈0.08403361344537815\frac{10}{119} \approx 0.08403361344537815
  5. Round decimal to nearest hundredth: Round the decimal to the nearest hundredth.\newlineTo express the probability to the nearest hundredth, we round the decimal from Step 44 to two decimal places.\newlineProbability (Paying with debit card) ≈0.08\approx 0.08

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