SOLUTION: find the probability that a randomly selected student is male, given that the student is a nursing major Nurse majors Non-nursing major Totals male

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Question 948914: find the probability that a randomly selected student is male, given that the student is a nursing major
Nurse majors Non-nursing major Totals
male 94 1104 1198
female 725 1682 2407
totals 819 2786 3605
CAN I GET STEP BY STEP INSTRUCTION PLEASE

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Conditional probability:
N-Random student is a Nursing major
M-Random student is a Male
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P(M|N)-probability that random student is a male given that student is nursing major.
P(M_and_N)-probability that random student is male and nursing student.
P(M|N)=P(M_and_N)/P(N)
So then,
P(M|N)=%2894%2F3605%29%2F%28819%2F3605%29=94%2F819
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You could also look at it, since you already know the student is a nursing major, the population shrinks to 819. Then you know there are only 94 males, and,
P=94%2F819
Same answer.