Let $\displaystyle A_1, A_2, A_3, ...$ be a sequence of events of an experiment. Prove that $\displaystyle P(\displaystyle\cap_{n=1}^{\infty} A_n) \geq 1 - \displaystyle\sum_{n=1}^{\infty} P( A_n)$
Hint: Use Boole's Inequality
Let $\displaystyle A_1, A_2, A_3, ...$ be a sequence of events of an experiment. Prove that $\displaystyle P(\displaystyle\cap_{n=1}^{\infty} A_n) \geq 1 - \displaystyle\sum_{n=1}^{\infty} P( A_n)$
Hint: Use Boole's Inequality