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#11
08-08-2005, 08:27 PM
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Re: Number of hand combinations
Yes... thank-you... I calculated something else.... maybe you could check it....
The over/under for seeing a particular hand. 
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#12
08-08-2005, 10:10 PM
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Re: Number of hand combinations
[ QUOTE ]
Yes... thank-you... I calculated something else.... maybe you could check it.... The over/under for seeing a particular hand. [/ QUOTE ] To have a 50% chance of seeing a particular hand, you need 8.36 * 10^36 hands or 2.65 * 10^29 years. If N is the number of hands, then [(N-1)/N]^n = (1 - 1/N)^n = (1 - 1/N)^(N*n/N) =~ exp(-n/N) = 0.5 n = -N*ln(0.5) =~ -(1.21 * 10^37)*(-0.693) = 8.36 * 10^36 hands or 2.65 * 10^29 years.
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#13
08-08-2005, 11:36 PM
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Re: Number of hand combinations
[ QUOTE ]
Now getting any hand twice wouldn't take nearly as long. [/ QUOTE ] Does this mean that you will be far more likely to get duplicate hands in your search for a specific hand, but not THE specific hand in question?
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#14
08-09-2005, 01:57 AM
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Re: Number of hand combinations
[ QUOTE ]
[ QUOTE ] Now getting any hand twice wouldn't take nearly as long. [/ QUOTE ] Does this mean that you will be far more likely to get duplicate hands in your search for a specific hand, but not THE specific hand in question? [/ QUOTE ] Yes. It's like the birthday problem. You need an average of 365 people before you find one that shares your birthday, but you only need 23 people to have a 50% chance that any two people share a birthday. It should still take an astronomical amount of time to get a match. I'll work that out later.
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#15
08-09-2005, 02:46 AM
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Re: Number of hand combinations
I wish i took more math, maybe i should.
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