Question

Assume that the following events are independent:

• 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)

A)0.07

B)0.30

C)0.33

D)0.61

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Answer 1

0.30

P(A|B) =

P(A and B)

P(B)

=

0.14

0.47

= 0.29787

Explanation:

Answer 2

option B

0.30

Explanation:

Given in the question,

probability that a student is a high school junior = P(A) = 0.47

probability that a student is high school junior and owns car = P(A∩B) = 0.14

It is question of conditional probability

Formula to use

Probability = P (A∩B) / P (A)

= 0.14 / 0.47

= 0.297

≈ 0.30