Question

PLEASE HELP

Answer 1

Independent events mean that one event happening does not have to have the other event to happen.

The probability of both events happening is the product of the events.

The answer would be:

E. P(A ∩ B) = P(A) x P(B)

Answer 2

Answer:  The correct option is

(E) $P(A\cap B)=P(A)\times P(B).$

Step-by-step explanation:  We are given to select the correct equation that implies that A and B are independent events.

We know that

if two events are independent of each other, then the probability of event "A and B" is equal to the product of the probabilities of the two events.

Since A and B are independent events, so we must have

$P(A\cap B)=P(A)\times P(B).$

Thus, the required equation that implies that A and B are independent events is

$P(A\cap B)=P(A)\times P(B).$

Option (E) is CORRECT.