# Conditional Probability

$$P\left(A|B\right)=\frac{P\left(A\cap B\right)}{P\left(B\right)};P\left(B\right)\ne 0$$

**In case A and B are independent events:**

$$P\left(A|B\right)=P\left(A\right)\Rightarrow P\left(A\cap B\right)=P\left(A\right)\xb7P\left(B\right)$$

Keywords: Conditional Probability