Suppose you have two non mutually exclusive sets \(E\) or \(F\).
\begin{equation} (E\ and\ F)^{C} = (E^{C}\ or\ F^{C}) \end{equation}
\begin{equation} (E\ or\ F)^{C} = (E^{C}\ and\ F^{C}) \end{equation}
Suppose you have two non mutually exclusive sets \(E\) or \(F\).
\begin{equation} (E\ and\ F)^{C} = (E^{C}\ or\ F^{C}) \end{equation}
\begin{equation} (E\ or\ F)^{C} = (E^{C}\ and\ F^{C}) \end{equation}