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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?

Respuesta :

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Answer:

Step-by-step 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)

[tex]P(B/A) = \dfrac{P(A \cap B) }{P(A)}[/tex]

[tex]P(B/A) = \dfrac{0.72}{0.90}[/tex]

P(B/A) = 0.80