\normalsize \begin{eqnarray} P(\mbox{only first student female} ) &=& \ P(\mbox{female and male and male and male and male} ) \\ \vspace{5} \\ &=& \ P(\mbox{female} )\times P(\mbox{male} )\times P(\mbox{male} )\times P(\mbox{male} )\times P(\mbox{male} ) \\ \vspace{5} \\ &=& \ (0.59)(0.41)(0.41)(0.41)(0.41) \\ \vspace{5} \\ &=& \ (0.59)(0.41)^4 \\ \vspace{5} \\ &\approx& \ 0.0167 \end{eqnarray}