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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

                    TEXAS HOLD 'EM POKER TEXTBOOK - MATHEMATICS, PROBABILITIES, & ODDS OF POKER &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
                                           by Thomas M. Green <BR><BR>



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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<B>Putting the rarity of the Royal Flush in perspective. </B> 

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<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Suppose the height of the Empire State Building in New York (approx. 1454 ft)<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
represents the total number of 5-card hands (2,598,960).<BR><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>“What height corresponds to the number of Royal Flushes?”</b> <BR><BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<b>Answer:</b>&nbsp;&nbsp;  approx. 0.0269 in. or about the height of a stack of six one dollar bills.  <BR><BR>

 
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Fig. &nbsp;13&nbsp;&nbsp; from Chap. 1,&nbsp;&nbsp; <U>All Hands On Deck</U>
 
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