The probability of event a is x, and the probability of event b is y. if the two events are independent, which of these conditions must be true?
a. p(b|a) = y
b. p(a|b) = y
c. p(b|a) = x
d. p(a and b) = x + y
p(a and b) = x

p(a) y

The correct options are:

      A.  P(B|A) = y

We know that when two events A and B are independent.

Then,

P(A∩B)=P(A)×P(B)

As we are given:

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

Hence,

P(A∩B)=xy

Also,

Hence, P(A|B)=x

and similarly,

Hence,

  P(B|A)=y

picture below

is there any photos or whatever?