SOLUTION: There are 1000 questions. What is the probablity of two people picking three questions and two of the questions being the same.

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Question 568035: There are 1000 questions. What is the probablity of two people picking three questions and two of the questions being the same.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 1000 questions. What is the probablity of two people picking three questions and two of the questions being the same
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# of ways to pick 2 questions the same: 1
# of ways to pick 1 question different: 997
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# of ways to pick 3 questions randomly: 1000C3
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P(pick 2 the same and 1 different) = 997/166167000
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Cheers,
Stan H.