Below, the two-way table is given for aclass of students.SophomoreMale2 2FreshmenJuniorsSeniorsTotal42Female3463TotalIf a student is selected at random, find theprobability the student is a junior given that it'smale. Round to the nearest whole percent.[?]%

Respuesta :

Probability of an event A given B is;

[tex]\begin{gathered} Pr(A|B)=\frac{Pr(A\cap B)}{Pr(B)} \\ \end{gathered}[/tex]

Thus Probability of selecting a Junior student given it is a male is;

[tex]\begin{gathered} Pr(J|M)=\frac{Pr(J\cap M)}{Pr(M)} \\ Pr(J|M)=\frac{2}{14}=\frac{1}{7} \end{gathered}[/tex]

The probability of selecting a junior student given it is a male is 14%.