Event A: drawing a white marble
Event B: drawing a blck marble
Probability of drawing a white and then a black (with replacement:
[tex]\begin{gathered} P(A,B)=P(A)*P(B) \\ \\ P(A,B)=\frac{#white\text{ }marbles}{#marbles}*\frac{#black\text{ }marbles}{#marbles} \\ \\ P(A,B)=\frac{2}{3}*\frac{1}{3} \\ \\ P(A,B)=\frac{2}{9} \end{gathered}[/tex]