At a certain stage of a criminal investigation, the inspector in-charge is 60% convince of the guilt of a certain suspect. Suppose now a piece of evidence that shows the criminal has brown hair is uncovered. If the inspector in-charge is convinced that the suspect is not guilty then there is 20% chance that he/she has brown hair. What is the probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair?


2 years ago

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Answers : (1)

                                        
Hello student,

•G: event that the suspect is guilty


•C: event that he possesses the characteristic of the criminal


•P(G|C) is ?


•P(G|C) = P(GC)/P(C)


= P(C|G)P(G) / [P(C|G)P(G) + P(C|Gc)P(Gc)]


= 1(.6)/[1(.6) + (.15)(.4)] ≈ .91

Thanks and Regards
Shaik Aasif
askIITians faculty
2 months ago

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