Answer:The answer is [tex]\frac{7}{18}[/tex] and the number in green box =7
Step-by-step explanation:
P(Sophomore| Girl)=?
We have P(A | B) =P(A∩B)/ P(B)
P(Sophomore∩Girls)= [tex]\frac{7}{30}[/tex]
Total Students =8+12+5+5 =30
Total girls =4+7+3+4 =18
P(Girls)=[tex]\frac{18}{30}[/tex]
P(Sophomore | Girl)=P(Sophomore | Girls)/P(Girls)
=[tex]\frac{7}{30\frac{18}{30} }[/tex]
=[tex]\frac{7}{18}[/tex]
The number in green box =7
