Question

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

Answer 1

P(B/A)≠P(B)

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)