1971 AHSME Problem 23

Teams A and B are playing a series of games. If the odds for either to win any game are even and Team A must win two or Team B three games to win the series, then the odds favoring Team A to win the series are

\textbf{(A) }11\text{ to }5\qquad \textbf{(B) }5\text{ to }2\qquad \textbf{(C) }8\text{ to }3\qquad \textbf{(D) }3\text{ to }2\qquad \textbf{(E) }13\text{ to }6

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.