Mutually exclusive events: when 2 events CAN NOT HAPPEN AT THE SAME TIME: Example In one flip, Flipping a coin and getting Head AND TAIL (impossible). Another example : Turning right AND turning left. .
So P(A∩B) = 0, However P(A∪B) = P(A OR B), although they are mutually exclusive but their Probability = P(A) + P(B) (because either or)
Mutually INCLUSIVE EVENTS: When event can happen at the same time:
Example: from card deck, draw the King of Hearts, Or another example, in a class out of 50 students in math class, 30 are studying also English:
When events are mutually INCLUSIVE, their probability is:
P(A∪B) = P(A) + P(B) - P(A∩B).
[I can't draw te Venn diagram, but advise you to do so)
