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Subject: Re: Could someone calculate these odds?

Author: James Robertson

Date: 12:42:24 06/21/99

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On June 21, 1999 at 14:26:01, Dann Corbit wrote:

>On June 21, 1999 at 14:20:57, James Robertson wrote:
>
>>On June 21, 1999 at 13:48:03, Dann Corbit wrote:
>>
>>>On June 21, 1999 at 13:44:38, James Robertson wrote:
>>>
>>>>Could someone please calculate the odds that the 4 non-supercomputers would
>>>>score an even result with these 4 GMs? If the computers are just barely GM
>>>>strength (2500) and the humans are fairly strong GMs (2600), the humans should
>>>>score 64% on average. If the computers are rated 2450, the GMs should score 70%,
>>>>and the humans should score 75% against 2400 players.
>>>>
>>>>But the computers had white in 3 games, and white scores 60% against black. If
>>>>the odds were calculated, I'll bet it would be something like the computers have
>>>>a 35% chance of scoring the result we saw.
>>>With the number of games played, the uncertainty is so high that I do not think
>>>you can provide a reasonable calculation.  Look at how many games the SSDF plays
>>>before they even post a result.  There is a *reason* for that.
>>
>>I know, if we are trying to do some sort of confidence interval. But these
>>percentages are _established_. IE if we flip a previously unflipped coin, we
>>still are able to predict the odds that we will get heads. Anand has never
>>played Morozevich, but because of their ratings we can predict Anand's
>>probability of success.
>>
>>It should be possible to do that here.
>Sure, but with Anand and Morozevich there are *thousands* of games against rated
>opponents.  Here we have 7 games per program.  Quite frankly, we can't say
>anything with certainty about how strong any of them are.  Perhaps you could say
>that the ELO of the programs is 2600 +/- 2000.  How's that?

I didn't make myself clear. If the programs are GM strength then they must be at
least 2500. I wanted to see what the odds are of a 2500 group of players againt
a 2600 group of players, or if they are just IM strength, what are the odds
then?

James



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