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Old 12-07-2004, 12:23 AM
twankerr twankerr is offline
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Default standard deviation dealing cards

First, here are some calculations, tell me if they are wrong. These are for getting dealt one hand in Texas Holdem.

P(2 aces) = 6 ways to get 2 aces / C(52,2) ways to get two cards = .005

So, after N hands, the EV of 2 aces is .005N.

I need the standard deviation in order to find out how likely (or unlikely) it is to get deal aces x times in N hands. Any help?
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Old 12-07-2004, 01:06 AM
gaming_mouse gaming_mouse is offline
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Default Re: standard deviation dealing cards

For n trials, this is the binomial distribution with p = .005.

Thus the standards deviation is sqrt(n*p*q) where q = 1-p.

However, do not try to use the normal approximation to the binimial unless N is very large (since is p is so small here).

Here's a link with more:

http://www.stat.wvu.edu/SRS/Modules/.../binomial.html
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