Answer :
The probability that all four of them are women = 0.0060
Total number of people eligible for jury duty = 140
Number of women out of eligible 140 people = 40
So the number of men = 100
Number of jurors excused from jury duty for medical reasons = 4
That is, out of this 140 people 4 are selected and this can be done in a total of 140C4 = 15329615 ways
We need to find the probability that all four of the excused are women.
Number of ways of selecting 4 out of 40 women = 40C4 = 91390 ways
Hence probability of all four of the excused jurors being women
= Number of Favorable outcomes/Total number of outcomes = 40C4/140C4
= 0.00596
= 0.0060 rounded to four decimal places.
The question is not complete. Find the complete question below:
In a small county, there are 140 people on any given day who are eligible for jury duty. Of the 140 eligible people, 40 are women. If four potential jurors are excused from jury duty for medical reasons, what is the probability that all four of them are women? (round your answer to four decimal places.)
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