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arsen [322]
4 years ago
6

Find P (Sophomore | Boy)

Mathematics
1 answer:
Mandarinka [93]4 years ago
7 0

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.

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Right format of question:

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