SOLUTION: There were 19 people at your latest Narcoleptics Anonymous meeting (there would have been more, but they wer asleep?. After the meeting everyone decides to pile into the five corpo

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Question 578667: There were 19 people at your latest Narcoleptics Anonymous meeting (there would have been more, but they wer asleep?. After the meeting everyone decides to pile into the five corporate minis and drive to the coffe shop for a CAFFEINE FIX. Unfortunately, there were 7 people who haven't been taking their medication. Find the probalilty that;
a) all five drivers have been taking medication?
b) none of the drivers are taking their medication?
c) at least one of them iss not taking medication?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
There were 19 people at your latest Narcoleptics Anonymous meeting (there would have been more, but they wer asleep?. After the meeting everyone decides to pile into the five corporate minis and drive to the coffe shop for a CAFFEINE FIX. Unfortunately, there were 7 people who haven't been taking their medication.
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Total number of people: 19
# not taking med: 7
# taking med: 12
----------------------
Find the probalilty that;
a) all five drivers have been taking medication?
Ans: 12C5/19C5 = 0.0681
-------------------------------------
b) none of the drivers are taking their medication?
Ans: (7/19)^5 = 0.0068
-------------------------------
c) at least one of them is not taking medication?
Ans: 1 - 0.0068 = 0.9932
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Cheers,
Stan H.
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