I NEED SOME ALGEBRA 2 HELP!

At an auto care shop, 70% of customers get an oil change for their car. Only 45% of customers get an oil change for their car and get their car tires rotated. What is the probability that a customer who gets an oil change for their car also gets their car tires rotated? Round your answer to the nearest tenth of a percent.

Respuesta :

The statement of the question tells us that 45% of the customers getting an oil change will have their car tires rotated. Therefore:
probability of both = 0.7 x 0.45
= 0.315
= 31.5%

Answer:

64.3%

Step-by-step explanation:

You are finding a conditional probability. You divide the second percent by the first percent.

P(B | A) = [P(A and B)] / P(A)

P(A) = 0.7

P(A and B) = 0.45

= 0.45 / 0.7

= 0.643

= 64.3%