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

The condition P(A|B) = x is true.

Step-by-step explanation:

Given : The probability of event A is x, and the probability of event B is y.

If the two events are independent.

To find : Which condition must be true?  

Solution :

P(A)=x and P(B)=y

If two events are independent

Then

The formulas for conditional probabilities are

If we substitute the independent condition in conditional probability formulas we get,

Applying the given condition,

Therefore, The condition P(A|B) = x is true.

a c

step-by-step explanation: