From a box containing 4 black balls and 3 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.
Denote by \( X \) the number of green balls in the three draws. Complete the probability distribution.
\begin{tabular}{c|cccc}
\( \mathbf{x} \) & 0 & 1 & 2 & 3 \\
\hline \( \mathbf{P}(\mathbf{X = x}) \) & \( \square \) & \( \square \) & \( \square \) & \( \square \)
\end{tabular}
(Type integers or simplified fractions.)