Question

PLEASE HELP
Which of the following are true if event A and B are independent

Answer 1

a)
`P(B/A) = P(B)`

Explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

`P(A/B) = (P(AnB))/(P(B))`

or

`P(B/A) = (P(AnB))/(P(A))`

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

`P(B/A) = (P(AnB))/(P(A))`

`P(B/A) = (P(A)P(B))/(P(A)) = P(B)`

`P(B/A) = P(B)`