$\begin{array}{1 1}(A)\;\bigg(\frac{9}{10}\bigg)^5\quad(B)\;\frac{1}{2}\bigg(\frac{9}{10}\bigg)^4\quad (C)\;\frac{1}{2}\bigg(\frac{9}{10}\bigg)^5\quad(D)\;\bigg(\frac{9}{10}\bigg)^5+\frac{1}{2}\bigg(\frac{9}{10}\bigg)^4\end{array} $