In article <[EMAIL PROTECTED]>,
John Smith <[EMAIL PROTECTED]> wrote:
>I have what I hope is a simple theoretical question to resolve an
>argument:

>The problem concerns finishing position at the end of round-robin
>chess competition.

>If competitor A has probability Pa of finishing in the top half of the
>league table, and competitor B has Pb, what is the probability that A
>finishes higher than B ?

>Likewise, if competitor A has probability Pa of winning a match (any
>match - so I suppose this would be some notional 'average' opponent),
>and B has probability Pb, what is the probability that A would win a
>match against B?

>any help appreciated

Without more assumptions, the question cannot be answered.

One can give probability models in which it can be anything.
-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED]         Phone: (765)494-6054   FAX: (765)494-0558
.
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