# What is the meaning of conditional probability?

If two events are independent, the conditional probability of one event given the other is simply equal to the overall probability of that event. The probability of A given B is written as $P \left(A | B\right)$.
So, $P \left(A\right) = \frac{3}{44}$ and $P \left(B\right) = \frac{2}{44}$. However, $P \left(A | B\right) = \frac{2}{2}$, because of those 2 presidents named Bush, 2 have been named George.