I just have a quick probability question.
Let $A$, $B$ be in $F$. Show that $A \cap B$ is in $F$ using $(A \cap B)^c$.
Any ideas on how I can solve this?
I just have a quick probability question.
Let $A$, $B$ be in $F$. Show that $A \cap B$ is in $F$ using $(A \cap B)^c$.
Any ideas on how I can solve this?
I assume you know that $F$ is closed under finite union and complementation. In that case, apply DeMorgan's laws as follows $A\cap B = (A^c\cup B^c)^c.$