The probability of event a is x, and the probaility of event b is y. if the two events are independent, which condition must be true? p(a|b) = x p(a|b) = y p(b|a) = x p(b|a) = xy

 The correct option is (A) P(A\B) = x.

Step-by-step explanation:  Given that the probability of event A is x, and the probability of event B is y.

We are to select the correct condition that must be true if the two events A and B are independent.

According to the given information, we have

P(A) = x  and  P(B) = y.

We know that if two events A and B are independent, then

P(A\B) = P(A)   and    P(B\A) = P(B).

Therefore,

P(A\B) = P(A) = x,

⇒ P(A\B) = x.

Thus, option (A) is correct.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)