Hi Stefan, 

--- In [email protected], "Stefan Pochmann" 
<[EMAIL PROTECTED]> wrote:
> Results so far
> You have won 9, lost 3, and tied 4 games 
> Statistics for 16 games
> winning percentage*: 37.50%
> won : 56.25%
> lost: 18.75%
> tied: 25.00%

I wouldn't be too surprised if you /can/ beat this program 
consistently, but you don't have much evidence here.

Suppose we start from the hypothesis (1) that those win/lose/tie 
percentages really are an accurate reflection of what you would get in 
a very long run of games.  

Now compare the probability of getting the result (9,3,4) under that 
assumption (1) with the probability of getting (9,3,4) in purely random 
play:

Ratio = (.5625)^9 * (.1875)^3 * (.25)^4 / (.3333)^16 = 6.2

This is not strong evidence in favour of (1), as compared with random 
play, and it will be weakened further if you were to make allowance for 
other hypotheses -- as we should: I deliberately chose (1) to be 
maximally favourable to /you/ -- i.e., to give the maximum possible 
value for the relative likelihoods of the 2 hypotheses.

> That program is sooo bad. And my strategy was actually quite 
> repetitive.

It was a short run.  Try playing several hundred games to see if the 
program will pick up on your strategy.

Yeah, it would be boring to do a proper test. ;)

Mike





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