Twenty-three subjects volunteer for a study of a new cold medicine. Ten of the volunteers are ages​ 20-39, 6 are ages​ 40-59, and 7 are age 60 or older. If 8 volunteers are selected at​ random, find the following probabilities. ​(a) the probability that all the volunteers selected are ages​ 20-39 ​(b) the probability that 4 of the volunteers are ages​ 20-39 and 4 are age 60 or older ​(c) the probability that 4 of the volunteers are ages​ 40-59 ​(a) The probability that all the volunteers selected are ages​ 20-39 is nothing.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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9.3.31-LS
   
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Twenty-three
subjects volunteer for a study of a new cold medicine.
Ten
of the volunteers are ages​ 20-39,
6
are ages​ 40-59, and
7
are age 60 or older. If
8
volunteers are selected at​ random, find the following probabilities.
​(a) the probability that all the volunteers selected are ages​ 20-39
​(b) the probability that
4
of the volunteers are ages​ 20-39 and
4
are age 60 or older
​(c) the probability that
4
of the volunteers
are
ages​ 40-59
​(a) The probability that all the volunteers selected are ages​ 20-39 is
nothing.
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