Asurvey 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?

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

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