A jury is to be selected from a pool of 40 potential jurors. The defendant faces the death penalty if convicted. Ofthe potential jurors, 5 are opposed to the death penalty and would not convict regardless of the evidence. Theprosecutor knows that if even one juror opposes the death penalty, they will have no chance of getting aconviction. If none of the jurors opposes the death penalty they will have a chance of getting a conviction. Whatis the probability that none of the jurors opposes the death penalty, if the jury consists of 12 randomly selectedjurors?
A) 0.1494
B) 0.1643
C) 0.2014
D) 0.1813

Question

Quizplus · Accepted Answer

The probability that none of the 12 jurors opposes the death penalty is calculated by choosing all 12 jurors from the 35 who do not oppose it. The probability is given by the combination formula: C(35,12)/C(40,12) = 0.1494.

A Jury Is to Be Selected from a Pool of 40