A trial has just resulted in a hung jury (a judicial jury that can\'t agree upon

Question

A trial has just resulted in a hung jury (a judicial jury that can't agree upon a verdict after extended deliberation and is unable to reach the required unanimity or supermajority) because seven members of the jury were in favor of a guilty verdict and the other five were for acquittal. If the jurors leave the jury room in random order and each of the first five leaving the room is approached by a reporter in quest of an interview, what is the probability of at least four jurors favoring acquittal among those interviewed? 0.0099 0.1005 0.0091 0.0879 0.0405

Explanation / Answer

P(a juror favoring acquittal) = 5/(5+7) = 5/12

5 are randomly approached by media

P( at least 4 of them favoring acquittal) = P(4 favoring acquittal) + P(5 favoring acquittal)

= 5x(5/12)4x(7/12) + (5/12)5

= 0.0879 + 0.0126

= 0.1005 (Option B)

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