Fill in the blanks in the following question:
Let A and B be two events. If P(A | B) = P(A), then A is ___________ of B.

Question

Fill in the blanks in the following question: Let A and B be two events. If P(A | B) = P(A), then A is ___________ of B.

Philoid · Accepted Answer

Independent

As, we know that-

P(A|B) =

but it is given that-

⇒ P(A ∩ B) = P(A)P(B)

This implies that A and B are independent of each other.

∴ A is independent of B

Fill in the blanks in the following question:Let A and B be two events. If P(A | B) = P(A), then A is ___________ of B.