Question

Find P (Sophomore | Boy)

Answer 1

Answer:

$\textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}}$

Step-by-step explanation:

We are asked to find the probability of picking a Sophomore who is a boy.

There are 5 Sophomores who are boys out of total boys.

$\textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}}$

$\implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)}$

$= \frac{5}{12}$

Hence, the answer.