Question

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

Answer 1

Answer:

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

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

              $P(A/B) = \frac{P(AnB)}{P(B)}$

                     or

            $P(B/A) = \frac{P(AnB)}{P(A)}$

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 $P(B/A) = \frac{P(AnB)}{P(A)}$

$P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)$

$P(B/A) = P(B)$