If A and B are events such that P(A|B) = P(B|A), then

Question

Philoid · Accepted Answer

Given: P(A|B) = P(B|A) ……….(i)

Now, we know that

By definition of conditional probability,

……….(ii)

……….(iii)

Using (i), we have

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

⇒ P(A) = P(B)