# If P(A) = 1/2 and P(B) = 8/9 what is P(A and B)?

However, if we assume that the events $A$ and $B$ are independent events then we can, as, in that case:
$P \left(A \cap B\right) = P \left(A\right) \setminus P \left(B\right)$
$\text{ } = \frac{1}{2} \setminus \frac{8}{9}$
$\text{ } = \frac{4}{9}$