SOLUTION: �What is the probability that you and a friend both solve the same five problems? The test has 6 questions, you are required to answer 3 given questions but can pick the other t

Question 542738: �What is the probability that you and a friend both solve the same five problems?
The test has 6 questions, you are required to answer 3 given questions but can pick the other two questions from a pool of 3 questions.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the probability that you and a friend both solve the same five problems?
The test has 6 questions, you are required to answer 3 given questions but can pick the other two questions from a pool of 3 questions.
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There are 3C2 = 3 sets of 2 questions
One of them is the same as your friends choice of 2.
P(choose same set of 2) = 1/3
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Cheers,
Stan H.
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