Trivia

Subject:
Re: Friday Puzzler -- Game to 15

Larry Barrett
Your chance of winning is greatest if you go first.
There are 8 combinations of 3 of the 1-9 numbers that add to 15:
1 5 9, 1 6 8
2 4 9, 2 5 8, 2 6 7
3 4 8, 3 5 7
4 5 6
Of course, the three numbers can be drawn in any order, along with any other numbers. But note that the winning combinations contain at least one odd number.
(This is rather obvious since the sum must be an odd number, 15).
At the start, there are 5 odd numbers (1,3,5,7,9) and 4 even numbers (2,4,6,8) and your odds of drawing an odd number are 5/9 if you draw first.

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