SOLUTION: If three numbers are chosen without replacement from the integers 1, 2, 3, 4, 5, 6, 7, 8, what is the probability that the median value is 3? a 1/12 b 1/20 c 3/20 d 5/28 e 1

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Question 252295: If three numbers are chosen without replacement from the integers 1, 2, 3, 4, 5, 6, 7, 8, what is the probability that the median value is 3?
a 1/12 b 1/20 c 3/20 d 5/28 e 15/28

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If three numbers are chosen without replacement from the integers
1, 2, 3, 4, 5, 6, 7, 8, what is the probability that the median value is 3?
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Ways to succeed:
134,135,136,137,138,234,235,236,237,238: 10 ways
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# of possible outcomes: 8C3 = 56
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P(3 in the middle) = 10/56 = 5/28
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Cheers,
Stan H.
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a 1/12 b 1/20 c 3/20 d 5/28 e 15/28

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