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Subject: Re: The big compromise , headache

Author: Uri Blass

Date: 14:32:54 04/10/02

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On April 10, 2002 at 17:22:14, Vincent Lejeune wrote:

>On April 10, 2002 at 16:22:18, Robert Hyatt wrote:
>
>>On April 09, 2002 at 16:02:47, Roy Eassa wrote:
>>
>>>
>>>Let's see what statements BOTH sides can agree on:
>>>
>>>1) In most highly open, tactical positions, the strongest computers are usually
>>>stronger than even the strongest GMs.
>>>
>>>2) In many more-closed positions the strongest GMs are stronger than any
>>>computers.
>>>
>>>3) A GM can maximize his chances and thus minimize the computer's chances by
>>>avoiding the types of positions in #1 and creating those in #2.  THIS IS A SKILL
>>>UNTO ITSELF.
>>
>>
>>Here is a cute question:
>>
>>We are going to play a game where each of us (two player game) has a coin.
>>I can show you either a head or a tail, and you do the same to me.  We both
>>show our coins simultaneously.  If we both show heads, you owe me $1.  If we
>>both show tails, you owe me $3.  If we show different (head for me tail for you
>>or vice-versa) I pay you $2.
>>
>>Do you play this game with me?
>>
>>(Hint:  it looks evenly matched but it favors me)
>
>
>                         me : tail(25%) --> - 1 for me
>                        /
>      you : tail(50%) --
>    /                   \
>   /                     me : head(25%) --> + 2 for me
>---
>   \                     me : tail(25%) --> + 2 for me
>    \                   /
>      you : head(50%) --
>                        \
>                         me : head(25%) --> - 3 for me
>
>conclusion : wining expectancy : 0 !!!
>
>Where's the flaw ???

You assume that the sides choose head and tail with probability 50% and it is
not the case.

Uri



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