Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Number of boys = 12
Number of girls = 18
Total number of students = 12 + 18 = 30
Probability refers to chances of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of possible outcomes
To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]
P(Senior and Boy) = [tex]\frac{1}{30}[/tex]
P(Boy) = [tex]\frac{12}{30}[/tex]
So,
P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]
