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DavidC
09-07-2005, 11:23 AM
Hey guys.

I'm looking for a recommendation on a good probabilities website.

Thing is, recently I was working on hand distributions, and I said something like:

A pair is 4*3/2 = 6 hands
Overs (AK) is 4*4/2 = 8 hands.

This isn't true.

Basically, because the overs are created of 4 unique aces, each with a set of 4 unique kings: there's no overlaps, and therefore we have 16 hands rather than 8 hands.

Also, the pairs isn't really 4*3/2, but rather, 4*3/2!, which is equivalent...

Where I would run into trouble using the /2 rather than /2! is if I were trying to figure out the chances for flopping a monotone flop, which would involve something like /3!, rather than a potential mistake: /3

(the difference between 3*2*1 (=6) and 3.)

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Anyways, I'm kinda embarassed at my amateur mistake, and would like to check out a beginner's probability website, that would cover this material. If anyone has any suggestions, please let me know!

--Dave.

LetYouDown
09-07-2005, 11:39 AM
I really have no idea what you're talking about because you mention "overs" and "pairs" without any context.

Monotone flop with no known cards:

4 * C(13,3)/C(52,3) = 5.18%

Decent intro to probability text (http://www.letyoudown.com/intro.pdf)

What I'm gleaning from your post is that you're having trouble differentiating between combinations and permutations. You should be able to find something in &lt; 10 seconds on google.