Six jurors are to be selected from a pool of 20 potential candidates to hear a c

Question

Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 3 of the 20 prospective jurors are potentially prejudiced by being acquainted with one or more of the litigants. They will not disclose this during the jury selection process. If 6 jurors are selected at random from this group of 20, find the probability that the number of potentially prejudiced jurors among the 6 selected jurors is exactly 1.

Round your answer to four decimal places.

P(exactly 1)=

Explanation / Answer

Probability that a juror is prejudiced p = 3/20.

Number of jurors n = 6.

X ~ Binom(6,3/20).

Probability that the number of prejudiced jurors is exactly 1

= 6 * (3/20) * (17/20)5

= 0.3993.

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