Question

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.[?]%

Answer 1

Probability of an event A given B is;

`\begin{gathered} Pr(A|B)=(Pr(A\cap B))/(Pr(B)) \\ \end{gathered}`

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

`\begin{gathered} Pr(J|M)=(Pr(J\cap M))/(Pr(M)) \\ Pr(J|M)=(2)/(14)=(1)/(7) \end{gathered}`

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