Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .
So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .
We have given P(B|A') = 0.6
P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.
P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.
=> P(A|B) = (∩)()=0.60.75
P
(
A
∩
B
)
P
(
B
)
=
0.6
0.75
= 0.8 .
