Suppose events A and B are mutually exclusive and at least o

Suppose events A and B are mutually exclusive and at least one of the events is nonempty.
Show that A and B are dependent events. (Typically, mutually exclusive implies dependent).

Solution

Two events are dependent if the outcome of one event is affected by the outcome of the other event i.e. P(A/C)?P(A)

. Also note that P(A/C)=P(AnC)P(C)