SOLUTION: The probability that a doctor correctly diagnoses a particular illness is 0.7. Given that the doctor makes an incorrect diagnosis, the probability that the patient files a lawsu

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Question 924034: The probability that a doctor correctly diagnoses
a particular illness is 0.7. Given that the doctor
makes an incorrect diagnosis, the probability that the
patient files a lawsuit is 0.9. What is the probability
that the doctor makes an incorrect diagnosis and the
patient sues?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(correct diagnosis) = .7
p(lawsuit | incorrect diagnosis) = .9
.........
P(incorrect diagnosis AND patient sues) = (.3)(.9) = .27