6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event that some testimony or evidence presented is in fact true. It has been known for lawyers to argue on the assumption that P(G|T)= P(TIG). Show that this holds if and only if P(G)=P(7).

6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event that some testimony or evidence presented is in fact true. It has been known for lawyers to argue on the assumption that P(G|T)= P(TIG). Show that this holds if and only if P(G)=P(7).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...

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6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and I the event
that some testimony or evidence presented is in fact true. It has been known for lawyers to argue
on the assumption that P(G|T) = P(TIG). Show that this holds if and only if P(G)=P(7).

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