Two Plus Two Poker Forums Hand probabilities in PLO
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read Video Directory TwoPlusTwo.com

 Notices

 Probability Discussions of probability theory

 Thread Tools Display Modes
 05-31-2012, 03:35 PM #1 centurion     Join Date: May 2012 Location: Montreal Posts: 119 Hand probabilities in PLO Hey everyone, Was wondering what the probability of having a pair in your hand in PLO was. I know in Hold'em its 6% but I don't think I can just double that. If you could let me know and what the formula used to get it was that would be great. Thanks!
 05-31-2012, 03:40 PM #2 centurion     Join Date: May 2012 Location: Montreal Posts: 119 Re: Hand probabilities in PLO Also would like to know the probability of pairing; pretty sure its around 65/66% because you have twice the amount of cards as in Hold'em.
 06-01-2012, 03:53 PM #3 veteran   Join Date: Mar 2009 Location: In the wires Posts: 2,260 Re: Hand probabilities in PLO Chance to be dealt at least one pair with 4 cards: 1 - (48/51 * 44/50 * 40/49) = 32.4% And if we exclude trips (0.92%), 2 pairs (1.04%), and quads (13/270725), the chance for exactly one pair is 30.4%. Last edited by NewOldGuy; 06-01-2012 at 04:22 PM.
 06-01-2012, 05:00 PM #4 centurion     Join Date: May 2012 Location: Montreal Posts: 119 Re: Hand probabilities in PLO That's great thanks! Any idea if I am correct about pairing? Anyone know what the odds of two pairing in PLO would be? Thanks
06-01-2012, 07:24 PM   #5
veteran

Join Date: Mar 2009
Location: In the wires
Posts: 2,260
Re: Hand probabilities in PLO

Quote:
 Originally Posted by DaRealClodo That's great thanks! Any idea if I am correct about pairing? Anyone know what the odds of two pairing in PLO would be? Thanks
Is your question, what is the chance to be dealt 2 pairs? That would be about 1%.

 06-01-2012, 08:05 PM #6 centurion     Join Date: May 2012 Location: Montreal Posts: 119 Re: Hand probabilities in PLO No sorry, I mean two pairing on the flop- assuming 4 different cards in hand
 06-02-2012, 06:13 PM #7 veteran   Join Date: Mar 2009 Location: In the wires Posts: 2,260 Re: Hand probabilities in PLO Starting with 4 different cards, there are 12 cards that can hit us on the flop, and you want to see 2 of those of different ranks. I think the solution is: 12/48 * 9/47 * C(3,2) = 14.4%
 06-02-2012, 07:55 PM #8 veteran   Join Date: Jan 2009 Posts: 2,334 Re: Hand probabilities in PLO Didn't you leave out the third card not matching the hand or other flop cards? If you include it, with prob= 36/46, you get 11.24%. Using combinations Prob(exactly 2 pair on flop in PLO given 4 non-matching hole cards) = C(4,2)*C(3,1)*C(3,1)*C(36,1)/C(48,3) = 11.24%
06-02-2012, 08:02 PM   #9
veteran

Join Date: Mar 2009
Location: In the wires
Posts: 2,260
Re: Hand probabilities in PLO

Quote:
 Originally Posted by statmanhal Didn't you leave out the third card not matching the hand or other flop cards? If you include it, with prob= 36/46, you get 11.24%.
Yes, I included full houses and also included the possibility of being counterfeited by a board pair.

 06-02-2012, 10:40 PM #10 centurion     Join Date: May 2012 Location: Montreal Posts: 119 Re: Hand probabilities in PLO That's awesome, very helpful! Thanks you!
 06-03-2012, 03:00 AM #11 veteran   Join Date: Jan 2009 Posts: 2,334 Re: Hand probabilities in PLO Addendum: The flop can pair 3 of the 4 cards in your hand, which will still be a 2 pair hand in Omaha. So, if OP wants to include this possibility, the added probability is C(4,3)*(3^3) / C(48,3) = 0.6%.

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are Off Pingbacks are Off Refbacks are Off Forum Rules

All times are GMT -4. The time now is 08:24 AM.

 Contact Us - Two Plus Two Publishing LLC - Privacy Statement - Top