Boole’s Inequality
Boole’s Inequality The Boole’s Inequality Theorem states that "the probability of several events occuring is less than or equal to the sum of the probabilities of each event occuring". For any two events $A$ and $B$, we have $$ \begin{eqnarray*} P(A \cup B) &=& P(A) + P(B) – P(A\cap B)\\ &\leq & P(A) + P(B)\\ …