Deion owns a small business selling clothing. He knows that in the last week 45 customers paid cash, 6 customers used a debit card, and 37 customers used a credit card.Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Q. Deion owns a small business selling clothing. He knows that in the last week 45 customers paid cash, 6 customers used a debit card, and 37 customers used a credit card.Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Total Number of Customers: Determine the total number of customers from last week.We have:Customers who paid cash: 45Customers who used a debit card: 6Customers who used a credit card: 37What is the total number of customers from last week?45 (cash) + 6 (debit) + 37 (credit) = 88Total number of customers: 88
Probability of Cash Payment: Calculate the probability that the next customer will pay with cash.We have:Customers who paid cash: 45Total number of customers: 88What is the probability of a customer paying with cash?P(cash)=Total number of customersNumber of cash customersP(cash)=8845Now, we need to convert this fraction to a decimal.
Convert Fraction to Decimal: Convert the fraction to a decimal and round to the nearest hundredth. P(cash)=8845≈0.51136Rounded to the nearest hundredth, this is approximately 0.51.