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Go Back   Poker Forums > Texas Hold Em Rooms > Advice & Strategy > Theory, Advice, Strategies

Odds & Probs

Theory, Advice, Strategies

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Old 03-31-2005, 07:22 PM
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Default Odds & Probs

Someone Touched on this in a previous topic, but i thoguht i would just clarify some of the details of these amazing odds and probabillities which alot of people have very little idea about.

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<table width="301" border="1"> <tr> <td width="89"><div align="center">Hand</div></td> <td width="72"><div align="center">No. Of Ways </div></td> <td width="118"><div align="center">Odds in 5 Cards </div></td> </tr> <tr> <td>Royal Flush </td> <td>4</td> <td>1 in 649,740 </td> </tr> <tr> <td>Straight Flush</td> <td>36</td> <td>1 in 72,193.33 </td> </tr> <tr> <td>4 of a Kind </td> <td> 624</td> <td>1 in 4,165 </td> </tr> <tr> <td>Full House </td> <td>3,744</td> <td>1 in 694.16</td> </tr> <tr> <td>Flush</td> <td>5,108</td> <td>1 in 508.80</td> </tr> <tr> <td>Straight</td> <td>10,200</td> <td>1 in 254.80 </td> </tr> <tr> <td>3 of a Kind </td> <td> 54,912</td> <td>1 in 47.32 </td> </tr> <tr> <td>Two Pairs </td> <td>123,552</td> <td>1 in 21.03 </td> </tr> <tr> <td>One Pair </td> <td>1,098,240</td> <td>1 in 2.36</td> </tr> <tr> <td>No Pair </td> <td>1,302,540</td> <td>1.99</td> </tr> </table> <p>[u][b]Chances of competing your hand when drawing one card[/b][/u]</p> <table width="340" border="1"> <tr> <td width="208">Four cards to a Flush</td> <td width="116">1 - 4.5 </td> </tr> <tr> <td>Straight open at both ends</td> <td>1 - 5</td> </tr> <tr> <td>Straight open at one end</td> <td>1 - 11 </td> </tr> <tr> <td>Straight open on inside</td> <td> 1 - 11 </td> </tr> <tr> <td>Straight Flush open at both ends</td> <td>1 - 23</td> </tr> <tr> <td>Straight Flush open at one end</td> <td> 1 - 46 </td> </tr> <tr> <td>Straight Flush open on inside</td> <td>1 - 46 </td> </tr> </table> <p>&nbsp;</p> <table width="355" border="1"> <tr> <td width="108"><div align="center">Low Hands </div></td> <td width="110"><div align="center">Deals Per Pat Hand </div></td> <td width="115"><div align="center">Hands Possible </div></td> </tr> <tr> <td>Ace High + </td> <td>5</td> <td>502,880</td> </tr> <tr> <td>King High + </td> <td>8</td> <td>335,580</td> </tr> <tr> <td>Queen High + </td> <td>12</td> <td>213,180</td> </tr> <tr> <td>Jack High + </td> <td>20</td> <td>127,500</td> </tr> <tr> <td>Ten High + </td> <td>37</td> <td>70,360</td> </tr> <tr> <td>Nine High + </td> <td>36</td> <td>71,860</td> </tr> <tr> <td>Eight High + </td> <td>70</td> <td>35,840</td> </tr> <tr> <td>Seven High + </td> <td>170</td> <td>15,360</td> </tr> <tr> <td>Six High ++ </td> <td>500</td> <td>5,120</td> </tr> <tr> <td>Five High ++ </td> <td>2500</td> <td>24</td> </tr> </table> <p>+ = No straights or flushes. Ace is high. <br>
++ = Including straights and flushes. Ace is low. </p> <p>There are 2,598,960 various poker hands in a pack of fifty-two-card deck. If one player is dealt 100,000 hands in one lifetime, he will never hold more than 4% of all the possible hands.</p> <p>Below is an estimation table of the number of pat (on the first five cards) poker hands that a single player can get in a lifetime.</p> <p>[u][b]Hands Approx. In One Lifetime [/b] [/u] <br>
  Royal Flush 0.15 <br>
  Straight Flush 1.4 <br>
  4 of a Kind 25 <br>
  Full House 170 <br>
  Flush 200 <br>
  Straight 400 <br>
  3 of a Kind 2,000 <br>
  Two Pair 5,000 <br>
  One Pair 40,00 <br>
  No Pair 50,000</p>

Last edited by Zaphor; 03-31-2005 at 08:12 PM.
  
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Old 03-31-2005, 08:13 PM
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Bah. Work dammit!
  
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