

Subject:
Hold Em odds formula
Category: Sports and Recreation > Games Asked by: stemjas45ga List Price: $10.00 
Posted:
14 Aug 2006 11:11 PDT
Expires: 13 Sep 2006 11:11 PDT Question ID: 755891 
I am looking for a formula that will help in Texas Hold'em poker. Essentially I am looking for formula that will tell me the chance of an event happening if there are two chances that it can occur. Example: if there are two cards to come (ie the turn and the river), what are the chances that one of those cards will give me a flush (assuming I have 4 to the flush already)? A formula and not a strict answer to the above question would be helpful so that I can use the formula in other situations. Thanks a lot! 

There is no answer at this time. 

Subject:
Re: Hold Em odds formula
From: jack_of_few_tradesga on 14 Aug 2006 13:36 PDT 
The formula is derived from the odds of each card being what you want: (I'll assume you want a flush in clubs because that is the best suit ever!) For the first card, you know 5 of the 52 cards in the deck are. So there are 47 unknown cards... and for your flush you know that 4 of the 13 possible clubs are already in your sight. So ther are 9 clubs remaining. 9/47 = 19.1% If you haven't gotten your flush yet, then you know 6 of the 52 cards... and you know that 4 of them are clubs. The odds this time are 9/46 = 19.6%. We can't just add 19.1% + 19.6% because that would double count any instance when both cards would be clubs. So instead it is 19.1% + 19.6%  (19.1%*19.6%) = 35%. Sorry there isn't a more clear cut formula. But I hope I left a good enough reasoning trail that you can derive formulas for other instances you need. Just look at what cards you know and what cards you need... then the math usually falls in line without too much struggling. Something that many people don't learn very quickly in holdem is that ... when trying to get a flush by paying to see the turn card, you then usually have to pay for the river card as well. So in essence whatever you pay for the turn card only gives you a 19.1%, and then you have to pay again (usually more) to see the river card for that 19.6% chance of getting the flush. (unless of course you go all in after the flop) 
Subject:
Re: Hold Em odds formula
From: efnga on 14 Aug 2006 20:00 PDT 
A less accurate but easier to calculate formula is to multiply the number of outs by four to get the percentage chance of making your hand with two cards to come, or multiply by two to get the percentage chance of making your hand with one card. http://casinogambling.about.com/library/weekly/aa050103.htm 
Subject:
Re: Hold Em odds formula
From: stemjas45ga on 06 Sep 2006 22:52 PDT 
hey thanks a lot, that definitely helps.. 
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