MathProbabilityEvents and probabilities

Bayes theorem

Bayes' theorem and forensic

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An investigator suspects Bob of a crime with probability $0.8$ . It's known that the probability of an offender having an alibi is $0.1$ while the probability of an innocent person having an alibi is $0.95$ . In the course of additional investigation, it became known that Bob has an alibi. What is the probability that Bob had committed a crime?

Select one option from the list

0.296

0.720

0.187

0.840

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