Question

Compute the conditional probabilities P(AB) and P(BIA). (Round your answers to three decimal places.)P(A) = 0.6, P(B) = 0.3, P(A and B) = 0.15P(AB) =P(BIA)=

Answer 1

Given:

P(A) = 0.6, P(B) = 0.3, P(A and B) = 0.15

• P(A|B):

$P(A|B)=\frac{P(A∩B)}{P(B)}$$P(A|B)=\frac{0.15}{0.3}=0.5$

• P(B|A):

$P(B\rvert A)=\frac{P(A∩B)}{P(A)}$$P(B|A)=\frac{0.15}{0.6}=0.25$

ANSWER

P(A|B) = 0.5

P(B|A) = 0.25