Answer:
a) [tex]P(B/A) = P(B)[/tex]
Step-by-step explanation:
Step(i):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
we will use the conditional probability
[tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]
or
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
Step(ii):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(B/A) = P(B)[/tex]
