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Answer to Question #6890 in Statistics and Probability for Misael

Question #6890
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 enters a law suit is 0.9. What is the probability that the doctor makes an incorrect diagnosis and the patient sues.
Expert's answer
Correctly diagnosis illness= 0.7
Incorrectly diagnosis illness= 0.3
Probability that the doctor makes an incorrect diagnosis and the patient asues = 0.9 * 0.3 = 0.27.

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