  In this paper, we prove the following Theorems 1. An extremally disconnected
space $X$ has the semi-Menger property if and only if One does not have a
winning strategy in the game $G_{fin}(sO,sO)$. 2. An extremally disconnected
space $X$ has the semi-Rothberger property if and only if One does not have a
winning strategy in the game $G_1(sO,sO)$.
