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Old 09-30-2007, 01:07 AM
jay_shark jay_shark is offline
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Join Date: Sep 2006
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Default Re: Math Question Royal flush

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Not trying to hijack the thread but what are the odds of actually flopping a royal (of any suit)? A buddy flopped a royal at my home game and we've been trying to find what the odds were of him flopping it....not just hitting it by the river etc. I've searched alot online but can't find those odds, most just show what the odds are of hitting a royal by the river.

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In case you're interested in the math , and you should be [img]/images/graemlins/smile.gif[/img]

40/52c2/50c3 = 40/(24 010 000)~ 1/600250 .

There are 40 possible two hole cards that are suited and in the range 10,j,q,j,a . Once this player has his two hole cards fixed , there is only one unique flop that gives him a royal flush out of 50c3 possible flops .

So preflop we have 40/52c2 . Now we take this number and multiply it by 1/50c3 which is 40/52c2/50c3 =1/649740
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