Question

one drive - through car wash facility offers three different types of washes: basic, deluxe, and supreme. the manager of the car wash facility tallies customer selections over three days.

given that a customer got their car washed on friday, what is the probability that the customer selected the deluxe car wash?

16.2%
30.7%
52.8%
55.8%

Explanation:

Step1: Recall conditional probability formula

Conditional probability formula is \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In this case, event \(A\) is "selecting deluxe car - wash" and event \(B\) is "getting car washed on Friday". So \(P(A|B)=\frac{\text{Number of deluxe washes on Friday}}{\text{Total number of washes on Friday}}\)

Step2: Substitute values from the table

From the table, the number of deluxe washes on Friday is \(43\), and the total number of washes on Friday is \(77\). Then \(P=\frac{43}{77}\)

Step3: Calculate the value

\(\frac{43}{77}\approx0.558 = 55.8\%\)

Answer:

\(55.8\%\) (the fourth option)