Independent and Mutually Exclusive Events

Mutually Exclusive

Events that cannot occur at the same time.

Independent

Whether one event happens doesn't affect the probability of the other happening.

P(A and B) = 0

Mutually Exclusive

P(A and B) = P(A) + P(B)

Independent

Dependent

Whether one event happens relies on the other happening

All mutually exclusive events are

dependent

A mutually exclusive venn diagram

doesn't overlap