This is a discussion on How do I calculate my hand odds flop to river? within the online poker forums, in the Learning Poker section; Say, someone goes allin on the flop and you have a flush draw. Odds from flop to turn are 4:1, yet they turn to 2:1 


#1




How do I calculate my hand odds flop to river?
Say, someone goes allin on the flop and you have a flush draw. Odds from flop to turn are 4:1, yet they turn to 2:1 when going in on the flop to river, so how exactly are they calculated? Is it exactly the same thing as the rule of 2 and 4?
If I had a gutshot for example, then my hand odds are 10.75:1 on the flop and 10.5:1 on the turn. The average of the previous two is 10.6, so by that my chances double and now my odds are 10.6:2 or 5.3:1? I'm sorry if this is a dumb question, but I just wasn't sure. Thanks for taking your time 
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The way you calculate it is you take the total number of unknown cards left in the deck and then determine how many of those are cards that you are looking for.
Lets say you have 67 and the flop was 892. The cards you are looking for are 5 and T. There are 4 instances of each cards left in the deck and there are 47 unknown cards (522(in your hand)3(on the flop)=47). So 8 cards out of 47 means there is a 17% chance that the next random card is going to be the card that you are looking for. Another way of looking at that is about a 1 in 5.8 chance of your card hitting on the turn. Once the turn comes, the odds change a little. You have 8 out of 46 cards now (since the turn card did not help you). Its still just a little better than 17% chance on that one instance  or 1 in 5.8. Given that from the flop to the river both cards could hit you have two opportunities for that 17% (or 1 in 5.8) chance. If do the math it comes out to be around 33%, since you don't exactly have a double chance... but its close enough for dirty poker math. 33% could be expressed as 1 in 3 chance. or maybe 2:1. If you wanted to figure it out for a gutshot then you just take 4 outs in 47 unknowns and you have about an 8.5% chance or about 1 in 11.6, or 1:10.67 or so. Put it all together and you have about a 17% chance to hit it by the river or a 1:4.8 odds or however you want to look at it. 
#4




Hey swift!!! Easiest way to calculate it is as Ladybugger said by using rule of 2 and 4. As you alread y used example of one player going all in on flop you will be using an rule of 4 because you have 2 card to come after flop and there will be not future betting.
The rule of 4 is simply multiplying your outs with 4 and the result is the chance that your hand will improve in percentage. I asume that you know what out is, out is a card that improve our hand. For open ended str8 draw lets say that we have 89 on a T7x flop, card that will give us str8 is any J or any 6, we have 4 jacks in a deck and 4 sixes in a deck which mean that we have 8 outs, following a rule of 4 we multiply our outs with 4 and get 32% chances that our hand will improve in next two cards for a flush draw it is practically a same only that we have 9 outs, 9 remaining cards of a same suit of total of 13 cards of 1 suit (there are on the flop and we have 2) following the same math 9x4=36% chances that our hand will improve on a next two cards... with more outs we have the less accurate rule of 4 gets, (over 9 outs) i can write about that too if you are interested... I want to point the important thing, you do not want to use rule of 4 of player is not all in on flop or if you not absolutely sure that he will check river or that you will get paid even bigger if you hit your draw (implied odds), without knowing all this basically you want to use rule of 2 which is same as rule of 4 with an exception that you multiply with 2 and it gives you percentage that your hand will improve in next street... 
#5




re: Poker & How do I calculate my hand odds flop to river?
Thanks for the answers, but that was not quite what I was looking for. I completely understand the rule of 2 and 4 and I can calculate my odds and that's what I did with the above example: odds of a gutshot are 43:4 or 10.75:1 on the flop (474) but that only counts if I'm paying a sum to see one card. If my opponent shoves then I need to call only 1 bet to see 2 cards. According to the rule of 2 and 4 I have twice the percantage from flop to river, so by that, do my odds double as well?
Does 10.6:1 turn to 10.6:2? I find the rule of 2 and 4 nearly useless when calculating pot odds because it only gives me the percantage and I have to turn that into odds and determine whether the call is profitable. 
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for converting percentage to odds you can use numerous converters online or you can convert it by using a simple math http://www.thepokerbank.com/tools/od...iopercentage/ 
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The rule of 2 and 4 isn't completely accurate anyway, so this bit of rounding isn't likely to matter. 
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I'm sorry if I was unclear because I understand how to use the rule of two and four. I was just wondering if I can apply it when calculating my hand odds. 
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That could be expressed as ~2:1, roughly. Your chances don't exactly double, but because of the relatively small number of possibilities in poker, doubling you chances for two streets gets you close enough to make a good decision. 
#14




to get the proper number work out the chance of not hitting
so flop probability is =47/9 5.22222 or 19.1489362% 80.85106% to miss Turn probability is =46/9 5.11111 or 19.5652174% 80.43478% to miss Multiply 80.85% * 80.43% =65.03238 65.03% to miss so chance of hitting is 100  65.03 = 34.97 TO work out individual streets just bad cards divide by good cards so on flop theres 47 unknown 38 bad and 9 good so 38/9 =4.222/1 On turn 37 bad still 9 good so 37/9 = 4.111 
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re: Poker & How do I calculate my hand odds flop to river?
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OUTS ODDS FLOP TO TURN ODDS FLOP TO RIVER EXAMPLE
1 45:1 22:1 Smaller set vs Higher set 2 22:1 11:1 Higher pocket pair vs Smaller set 3 15:1 7:1 One overcard 4 11:1 5:1 Gutshot straight draw 5 8:1 4:1 Middle pair vs Higher pair 6 7:1 3:1 Two overcards 7 6:1 2,5:1 Gutshot straight draw plus overcard 8 5:1 2:1 Openended straight draw 9 4:1 2:1 Flushdraw 10 4:1 1,6:1 Gutshot plus two overcards 11 3:1 1,4:1  12 3:1 1,2:1 Gutshot and Flush draw 13 2,5:1 1,1:1  14 2,4:1 1:1 Straight draw plus two overcards 15 2:1 1:1 Flush draw plus two overcards I found a neat list on Pokerschool. Basically your odds do double on flop to river. 
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re: Poker & How do I calculate my hand odds flop to river?
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