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ahrayia [7]
3 years ago
9

• 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)
Mathematics
2 answers:
Nostrana [21]3 years ago
5 0
The answer could be 0.88
Rufina [12.5K]3 years ago
3 0

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

Step-by-step 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)=\dfrac{P(A\cap B)}{P(A)}\\\\P(B\mid A)=\dfrac{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.

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