Why does it equal to $\displaystyle p(A) p(B|A)p(C|A\cap B)$?
BTW, how do I get the dot for multiply in latex?
[tex]A \cdot B[/tex] gives $\displaystyle A \cdot B$.
If $\displaystyle P(L)\not= 0$ then by definition $\displaystyle P(K|L)=\frac{P(K\cap L)}{P(L)}$.
But that means $\displaystyle P(K\cap L)=P(K|L)\cdot P(L)$.