SOLUTION: My question is.... 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 gi

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Question 969402: My question is....
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 bring their lunch is 40%, what is the probability that a randomly selected student will be a boy that brings his lunch to school?
A. 70%
B. 10%
C. 12%
D. 75%
I think the answer is C. 12%. But, I would just like to make sure.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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 bring 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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P(boy |lunch) = P(boy and lunch)/P(lunch) = 0.40
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P(boy and lunch) = P(lunch)*0.4 = 0.3*0.4 = 0.12
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You are correct
Cheers,
Stan H.
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A. 70%
B. 10%
C. 12%
D. 75%

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