A and B are two events. The notation for conditional probability is P (B|A). Which notation is the probability of two events being not independent

P (B/A) ≠P (B)

Step-by-step explanation:

We are given that A and B are two events and P (B/A) is the given probability notation for conditional probability.

For independence of two events with conditional probability the two events are said to be independent if

P (B/A) = P (B)

This equation can be derived from the definition of conditional probability.

P (B/A) = P (A∩B) / P (A)

If two events are independent then P (A∩B) = P (A) * P (B), substituting this in the above equation

P (B/A) = P (A) * P (B) / P (A)

P (B/A) = P (A).

So, if two events are not independent then the notation of probability is

P (B/A) ≠P (B)