Probability Formulae
\[P(A\cup B)=P(A)+P(B)-P(A\cap B)$$
$$P(A|B)=\frac{P(A\cap B)}{P(B)}\]
Mutually Exclusive Events
\[P(A\cap B)=0$$
$$P(A\cup B)=P(A)+P(B)$$
$$P(A|B)=0\]
Independent Events
\[P(A|B)=P(A)$$
$$P(A\cap B)=P(A)P(B)\]