Question

The probability of college graduate getting employed within a year is 90 % 90%. The probability of a college graduate getting employed and buying a car within a year is 72 % 72%. What is probability that a college graduate bought a car within a year given that he got employed within a year?

Answer 1

Explanation:

Let the probability of getting employed after graduated within a year be P(A)

and the probability of buying a car within a year be P(B)

Given that:

The probability of getting employed after graduated within a year = 90% = 0.9

Then; Let that be P(A)

The probability of getting employed and buying a car within a year = 72% = 0.72.

Then; Let that be P(A∩ B).

The probability that a college student will get both events is P(B/A)

`P(B/A) = (P(A \cap B) )/(P(A))`

`P(B/A) = (0.72)/(0.90)`

P(B/A) = 0.80