SOLUTION: The probability is 0.6 that a patient selected at random from the current residents of a certain hospital will be a male. The probability that the patient will be a male who is in

Question 1150694: The probability is 0.6 that a patient selected at random from the current residents of a certain hospital will be a male. The probability that the patient will be a male who is in for surgery is 0.2. A patient randomly selected from current residents is found to be a male; what is the probability that the patient is in the hospital for surgery?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
P(patient male) = 0.6
P(patient male and in for surgery) = 0.2

What is the probability a patient is in for surgery given he is male?

P(patient in for surgery|patient is male):

P(patient male and in for surgery)        0.2
------------------------------------ =  ------- = 0.33
      P(patient male)                     0.6

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