mattmonyo wrote:47 wrote:i challenge anyone to a 21 game series.
if it finishes 11-10, the conclusion is that the two players are pretty evenly matched.
Why did you choose an odd number if you're trying to find out if you and your opponent are even? The only reason sets are (almost) always comprised of an odd number of games is because there is always a clear winner. I think this would work better if you picked an even number. If you tie, you tie and you're even. If you don't tie, refer back to your list of what is what.
see, that's not a good question. as you recognize, the series is meant to to provide insight into who is the better of the two players.
suppose you walk into a room full of coins, some of which are fair, some of which are not. you pick one up and want to know whether it is fair or weighted to one side.
you can flip it twice, but if it comes up heads once and tails once, it doesn't tell you much. similarly, if it comes up heads twice, that doesn't tell you much either.
to gain any meaningful information about the fairness of the coin, you will have to flip it many times. the more times you flip it, the more you learn about its fairness.
the series i have proposed is analogous to this situaiton.
the coin's turning out to be weighted (one side lands face-up more frequently) is analogous to the result that one of us is better than the other.
essentially, you are saying... 'to try to figure out if the coin is fair, you should flip the coin an even number of times, like 100. that way, if it comes up 50 and 50, you will know the coin is even... and anything else, you will know which way it is weighted. but we now see that argument to be absurd.
it doesn't matter if my series has an even number or an odd number of games... what matters, is that there is enough to give us some meaningful information.