SOLUTION: Three integers are randomly selected without replacement from the set { 1,2,3,5,6,7}. What is the probability that the mean of the values chosen is less than, but not equal to,

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Question 264890: Three integers are randomly selected without replacement from the
set { 1,2,3,5,6,7}. What is the probability that the mean of the values chosen is less than, but not equal to, 5?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Procedure:
There are 7C3 = 35 sets of 3 digits.
List them, determine the mean of each set, and count the number that meet the condition of the problem.
Note: The sum of the numbers must be <=15.
The P(condition met) = (# of sets that meet the condition)/35
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Cheers,
Stan H.