>>>Ok, need to think more...
>>
>>You're thinking too much.
>>You've got balls in group A, B and C.
>>Two of those groups will weigh the same. The third group will weigh different. Stick to weighing more in that group.
>
>If A=B, then the solution is trivial. If A<>B, the solution is more complicated. Dan gave it in another thread, but I didn't think it through...
>
>Anyway, here is a simple problem for you.
>
>Two players play the game: who first says 100 will win. They can say any number between 1 and 10. Who and how will win?
>
>Example:
>A - 3
>B - 7
>A - 9
>B - 10
>etc.

Is this a math problem or a simple logic problem?
My first guess is to average out each persons possible guess to 5.5 and then take that to its logical conclusion.