Question

• probability that a student is a high school junior is 0.47 • probability that a student is a high school junior and owns a car is 0.14 What is the probability that a student owns a car, given that the student is a high school junior? (round to hundredths)

Answer 1

The answer could be 0.88

Answer 2

Answer: The probability that a student owns a car given that the student is a high school junior is 0.30.

Explanation:

Since we have given that

Probability that a student is a high school junior = 0.47

Probability that a student is a high school junior and owns a car = 0.14

Let the event A that a student is a high school junior.

And let the event B that a student owns a car.

P(A) = 0.47

P(A∩B)=0.14

We need to find the probability that a student owns a car given that the student is a high school junior.

So, we will use "Conditional probability":

`P(B\mid A)=(P(A\cap B))/(P(A))\\\\P(B\mid A)=(0.14)/(0.47)\\\\P(B\mid A)=0.297\\\\P(B\mid A)=0.30`

Hence, the probability that a student owns a car given that the student is a high school junior is 0.30.