Compute the Probabilities of Hypergeometric Experiments
-A jury is to be selected from a pool of 34 potential jurors. The defendant faces the death penalty if convicted. Of the potential jurors, 8 are opposed to the death penalty and would not convict regardless of the evidence. The prosecutor knows that if even one juror opposes the death penalty, they will have no chance of getting a conviction. If none of the jurors opposes the death penalty they will have a chance of getting a conviction. What is the probability that none of the jurors opposes the death penalty, if the jury consists of 12 randomly selected jurors
A) 0.0176
B) 0.0159
C) 0.0400
D) 0.0439

Question

Quizplus · Accepted Answer

The probability of selecting 12 jurors who do not oppose the death penalty from a pool of 34 potential jurors, 8 of whom oppose the death penalty, is given by the hypergeometric distribution:P(X = 12) = (8 choose 0) * (26 choose 12) / (34 choose 12) = 0.0176