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Subject: Re: WHY?

Author: James Robertson

Date: 08:47:35 03/18/99

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On March 18, 1999 at 10:32:03, Pat King wrote:

>On March 18, 1999 at 09:21:01, Albert Silver wrote:
>
>>On March 18, 1999 at 05:30:33, Charles Unruh wrote:
>>
>>>  If Kasparov beat GM Ashley 6 games in a row what would it say about his chess?
>>>  If Yermo beat H7 6 times in a row what would it say about it's chess?
>>>  H7 needs to play a 2500 GM.  Why?  Because we(most of us speculate the comps
>>>are around 2500-2550 no one(few) expect that progs are 2600+
>>
>>If the program does indeed play at 2500 then it should hardly lose 6-0 but more
>>like 4-2.
>
>It's expected score may be 4-2, but a 6-0 loss would not be significant. Just as
>if I flip a coin 6 times, and get heads 4 or 5 times instead of 3 times, I
>cannot draw a conclusion about the "fairness" of the coin. The sample size is
>just too small.

I agree that the sample space is small, but it is not _that_ small. The odds of
getting 6-0 for flipping a coin is 2 ^ 6, or 1 in 64. But in chess we have
draws; 3 ^ 6 is 1 in 729, or 0.13%. And at the GM level I would wager that draws
occur more than 1/3 of the time between evenly rating players.

Even though the ratings are uneven, they change the odds only tiny amount; For
instance, Yermolinsky should win 0.679% of the points, since he is 130 points
higher (assuming Hiarcs 7 is 2500). That increases the odds he will win all 6
games by less than 1/2 of a percent.

James


>
>A more even match with an expected outcome of 3-3 MIGHT let one say something
>definitive in the event of a 6-0 rout.



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