Correct. Finding the probability of individual events, the probability of a girl being chosen first is $\displaystyle\frac{{10}}{{25}}\usepackage{cmbright}\Huge\$ , and chosen second is $\displaystyle\frac{{9}}{{24}}\usepackage{cmbright}\Huge\$ , third $\displaystyle\frac{{8}}{{23}}\usepackage{cmbright}\Huge\$ and so on for 5 selections. Multiplying probabilities gives the probability that all selection are girls. $\displaystyle{\left(\frac{{10}}{{25}}\right)}{\left(\frac{{9}}{{24}}\right)}{\left(\frac{{8}}{{23}}\right)}{\left(\frac{{7}}{{22}}\right)}{\left(\frac{{6}}{{21}}\right)}=\frac{{30240}}{{6375600}}=\frac{{6}}{{1265}}\usepackage{cmbright}\Huge\$ .