Question

Compute the conditional probabilities P(A|B) and P(BIA). (Round your answers to three decimal places.)P(A) = 0.9, P(B) = 0.1, P(A and B) = 0.06P(AB) =P(BIA) =

Answer 1

Answer: P(A|B) = 0.6

P(BIA) = 0.067

Step-by-step explanation:

Recall the formula for conditional probability

P(A|B) = P(A and B)/P(B)

P(BIA) = P(A and B)/P(A)

From the information given,

P(A) = 0.9

P(B) = 0.1

P(A and B) = 0.06

By substituting the given values into the formulas, we have

P(A|B) = 0.06/0.1

P(A|B) = 0.6

P(BIA) = 0.06/0.9

P(BIA) = 0.067