A survey taken during class revealed 30% of the students in a class bring their lunch to school. If the probability that a randomly selected student is a boy given that the student brings their lunch is 40%, what is the probability that a randomly selected student will be a boy that brings his lunch to school?

Question

Mathematics

Nolan Short

7 April, 12:01

A survey taken during class revealed 30% of the students in a class bring their lunch to school. If the probability that a randomly selected student is a boy given that the student brings their lunch is 40%, what is the probability that a randomly selected student will be a boy that brings his lunch to school?

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Amelie Grimes · Answer 1

For the answer to the question above asking what is the probability that a randomly selected student will be a boy that brings his lunch to school? I'll provide a solution for the following problem below.

P (boy |lunch) = P (boy and lunch) / P (lunch) = 0.40

P (boy and lunch) = P (lunch) * 0.4 = 0.3*0.4 = 0.12