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)=(P(A∩B))/(P(B))`
`P(A|B)=(0.15)/(0.3)=0.5`

• P(B|A):

`P(B\rvert A)=(P(A∩B))/(P(A))`
`P(B|A)=(0.15)/(0.6)=0.25`

ANSWER

P(A|B) = 0.5

P(B|A) = 0.25