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Old 12-06-2006, 03:10 PM
mjkidd mjkidd is offline
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Default Re: Special Thread For Chen-Ankenman Mathematics of Poker

[ QUOTE ]
Mr. Sklansky, I haven't heard of the book, but I do have a question about the mathmatics. I was playing online last night in a cash game at Full Tilt. It was a micro limit. I was dealt three consecutive hands of pocket two's, and on all three consecutive hands I FLOPPED a set. I know many of the readers of this will not believe me but if you would like I do have the room and time down that this occurred. Again these were consecutive hands. I was curious about the probablity of this happening. I did not have the formula or the software to run it, but WE (office) came up with approx. 1 in 8,000,000,000,000,000.
Any thoughts would be greatly appreciated.
PS thanks for all your great books, they have helped me greatly.
Jeff Mc.

[/ QUOTE ]

A flopped set 3 times in a row would be (3/51)^3*(1/8.5)^3, or about 3 million to one.

A flopped set of the same rank three times would be (3/51)^3*(4/52)^2*(1/8.5)^3, or about 500 million to one.

A flopped set of deuces three times would be (4/52)^3*(4/52)^3*(1/8.5)^3, or about 6.6 billion to one.

You were only off about 7 orders of magnitude. That's not so much, in the grand scheme of things.
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