Addition Rules
Mutually Exclusive Events two events that do not overlap
This can be thought of visually as
Mutually Exclusive:
.jpg "mutually exclusive illustration")
Non-Mutually Exclusive:
.jpg "not mutually exclusive illustration")
Addition Rule (general):
(for an event \(A\) as well as an event \(B\))
\[P(A\text{ or } B)=P(A)+P(B)-P(A\text{ and } B)\]
When to events are mutually exclusive then \(P(A\text{ and }B)=0\), thus we get
Addition Rule (mutually exclusive):
(for an event \(A\) as well as an event \(B\))
\[P(A\text{ or } B)=P(A)+P(B)\]