Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
total no of boys =12
total no of girls=18
Probability that of getting a freshman provided it is a boy
[tex]\Rightarrow P(\text{freshman}|\text{boy})=\dfrac{\text{P(Freshman and boy)}}{\text{boy}}\\\\\Rightarrow P(F|B)=\dfrac{P(F\cap B)}{P(B)}=\dfrac{4}{12}\\\\\\Rightarrow P(F|B)=\dfrac{1}{3}[/tex]