Suppose two events $A$ and $B$ are mutually exclusive then we say that $P$ ($A \cap B)=0$. In my knowledge event is the outcomes delivered when we preform a task. So in the above line, when two events are mutually exclusive, does that mean any outcome obtained in any one event is different from outcomes obtained in other event? Is that what we use to identify any two events (mutually exclusive, exhaustive etc ).
Think of drawing one playing card from a shuffled deck.
The events drawing a 5 and drawing a 7 are "mutually exclusive" ... both cannot happen at the same time.
On the other hand, drawing a 5 and drawing a diamond are not mutually exclusive. They could both happen at the same time: if we draw the 5 of diamonds.