Initially an urn contains 100 black marbles and 100 white marbles. Repeatedly, three marbles are removed from the urn and replaced from a pile outside the urn as follows:
\begin{tabular}{ccc}
\underline{MARBLES REMOVED} & & \underline{REPLACED WITH} \\
3 black & & 1 black \\
2 black, 1 white & &1 black, 1 white\\
1 black, 2 white & & 2 white \\
3 white & & 1 black, 1 white
\end{tabular}
Which of the following sets of marbles could be the contents of the urn after repeated applications of this procedure?<spanclass=′latex−bold′>(A)</span>2 black marbles<spanclass=′latex−bold′>(B)</span>2 white marbles<spanclass=′latex−bold′>(C)</span>1 black marble<spanclass=′latex−bold′>(D)</span>1 black and 1 white marble<spanclass=′latex−bold′>(E)</span>1 white marble