Back to 3.2 Problems on Conditional Probability

3.2 Exercise 15

Avg difficulty 2.5

At a certain stage in a trial, the judge feels the odds are two to one the defendent is guilty. It is determined that the defendent is left handed. An investigator convinces the judge this is six times more likely if the defendent is guilty than if he were not. What is the likelihood, given this evidence, that the defendent is guilty?

Pfeiffer, Applied Probability, 3.2 Problems on Conditional Probability, exercise 15

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.