Step-by-step explanation:
let x be the total number of students in school
So, the fraction of students who play sports
= (1/5)x = x/5
fraction of students who play sports are girls
[tex] = \frac{2}{3} \times \frac{x}{5} [/tex]
[tex] = \frac{2x}{15} [/tex]
So, the fraction of girls who play sports
[tex] = \frac{number \: of \: observations \: involved}{total \: observations} [/tex]
[tex] = \frac{ \frac{2x}{15} }{x} [/tex]
[tex] = \bold{\frac{2}{15} }[/tex]
Hope you understand, if you've any doubts comment below ;))