Comment by margalabargala
5 hours ago
I think I'm having trouble understanding why this is so complicated/requires so many sides.
If I imagine a 3-sided die, for simplicity, you should be able to have this result if the sets are [1,5,9],[2,6,7],[3,4,8]. And so on for larger numbers of players. Why doesn't this work?
This is not exactly perfectly fair - appears that the first player wins 11/27 times and the other two win 8/27 each.
Ah. Now that I go through it it makes sense. You're right.
You might want to check that your proposed solution works at all before suggesting the problem is trivial. What's the probability that the first die goes first with your numbers?
You also can't generally "and so on" constrained combinatorial arrangements like this.
I certainly would have, had I suggested the problem trivial! I'll keep that in mind for if I suggest things are trivial rather than suggesting I lack understanding.
> You also can't generally "and so on" constrained combinatorial arrangements like this.
I know you can't generally but in the specific case I proposed you can (3 sets of 3, 4 sets of 4, 5 sets of 5, each dice taking one ordinal of each set).
You might want to check that your proposed generalization criticism applies to the generalization at all before suggesting the arrangement doesn't work :)
Didn’t they do the exact opposite of suggesting the problem was trivial?
Saying “I'm having trouble understanding” is not the same thing as “this is trivial”.
"I'm having trouble understanding why this is so complicated" could be interpreted in a non-dismissive way but it defaults to dismissive. And when it comes with a supposed solution attached, and that solution is really simple, that reinforces it sounding dismissive.
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