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In a criminal trial by​ jury, suppose the probability the defendant is​ convicted, given​ guilt, is...

In a criminal trial by​ jury, suppose the probability the defendant is​ convicted, given​ guilt, is 0.83​, and the probability the defendant is​ acquitted, given​ innocence, is 0.83. Suppose that 87​% of all defendants truly are guilty. Given that the defendant is​ convicted, find the probability he or she was actually innocent.

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