Question

P(A and B)

Answer 1

Answer:

$\frac{1}{12}$

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 $P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}$

P(Senior and Boy) = $\frac{1}{30}$

P(Boy) = $\frac{12}{30}$

So,

P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = $\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}$