Question

Which statement implies that A and B are independent events?

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

Two events are known as independent events if the probability of one event does not affect the probability of second event.

If A and B are two independent event, then

$P(A\cap B)=P(A)\cdot P(B)$                 .... (1)

The formula of conditional probability is

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

If A and B are two independent event, then by using equation (1) we get

$P(B|A)=\frac{P(A)\cdot P(B)}{P(A)}$

$P(B|A)=P(B)$

Therefore the correct option is D.

Answer 2

The kast one is the answer. It is the only one unaffected by A to any degree.