Question

the manager of the car - wash facility offers three different types of washes: basic, deluxe, and supreme. the manager 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: Identify relevant values

We want the probability of a deluxe car - wash given the car was washed on Friday. The number of deluxe car - washes on Friday is 43, and the total number of car - washes on Friday is 77.

Step2: Calculate probability

The formula for conditional probability in this case is $P(A|B)=\frac{n(A\cap B)}{n(B)}$, where $A$ is the event of getting a deluxe car - wash and $B$ is the event of getting a car - wash on Friday. So the probability $P=\frac{43}{77}\approx 55.8\%$.

Answer:

55.8%