critter.gambler
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« Reply #2 on: May 19, 2009, 01:24:43 AM » |
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i researched these poker odds:
Some Common Poker Odds
Figuring out your odds of winning is a matter of "counting your outs". When, in the first example with the flush, I said you had 9 cards that would make your hand the best, that's the same as saying that "you have nine outs." Any card that will give you the best hand is an out. Sometimes it's easy to count your outs, especially when you're drawing to the nuts, and sometimes it's virtually impossible. Anyway, the numbers below are based on some assumptions, which in turn are listed next to odds. I've also not included any odds to tell you what your chances are of hitting a hand with two cards to come. I know that a lot of people like to know these numbers, but I'm not sure why because they don't help, except in the fairly uncommon scenario where either you or your opponent are all-in already on the flop. These poker odds are assuming that you're on the turn and want to see a river, although they are close enough approximations to use on the flop as well. So, without further ado: Open-Ended Straight Draw: 4.8 : 1
For example, 8-7 on a A-9-6-2 board. You are drawing to 8 outs - the four fives, and the four tens, these will give you the nuts. These odds of winning presume that there is no possible flush on the board, and that you're drawing to the pure nuts. If you have 7-6 on a A-9-8-K board, the tens may not be outs for you, as they could possibly make someone else a bigger straight (someone who has QJ). Four to a Flush: 4.1 : 1
Like the first example above. The assumption is that you're drawing to the nut flush, e.g. no one can make a higher flush than you. This is especially important if you only have one card to make the flush, i.e. your two hole cards are not suited. If your hole cards are suited, and there are two more of your suit on the board, you can most often treat any flush as the nuts since it's very rare that you will be up against another person with two cards in the hole of your suit. If you are drawing to a four flush on the board, however, you should be extremely careful if you do not have the ace. Poker players like drawing to flushes, and poker players like playing aces - these two facts combined make your odds of winning a lot lower if you chase to anything but the nut flush in these cases. Inside Straight (Belly Buster): 10.5 : 1
Again, I'm assuming that you're drawing to the nuts, e.g. with 8-7 on a board of A-9-5-K. Any of the four sixes will give you the nuts. Unless you use both your hole cards to make the straight, however, you will not be drawing to the nuts. If the board is A-9-6-5 and you have 7-2, any 8 will give you a straight, but it's not the nut straight; someone with T-7 will have the nuts. One pair, drawing to two pair or trips: 8.2 : 1
If you have J-T on a board of A-J-8-3, and you strongly suspect that you're up against a someone with a pair of aces, you have five outs to beat him: Three tens (giving you two pair), and two jacks (giving you trips). Your odds here are based on the assumption that your opponent does not have AJ or AT! This is a dangerous assumption to make, and you should realistically have more than enough odds than 8:1 to profitably make this call to make up for the times when you are drawing to only half as many outs as you think you are. Overcards on a ragged flop: 6.7 : 1
Now we've really entered a dangerous assumption. If you have KQ on a board of 8-5-2, and you think your opponent has a pair of eights, but not a queen or a king kicker, you have six outs (any queen or king will make you a better pair). The odds of 6.7 - 1 only hold true if your assumption is correct. It will often be the case that you're wrong, however, so in reality you need to discount your outs severely. Drawing to a set: 22 : 1
For example, if you're holding 7-7 on a A-K-9-2 board, and your only saving grace is a third 7. This is a really farfetched draw, and my only reason for even including it is to show just how farfetched it is. I have (almost) never seen a pot big enough to warrant drawing to a set. Fold in all but the most extreme pot sizes. Drawing to X outs: (46-X) / X : 1
This is the generic formula. If you're another draw than the ones I've listed above, and want to figure out your odds for it, you do this: Figure out your number of outs (you're on your own there), then take 46 minus this number. Divide the result by the number of outs, and voila - you have your odds. For example, if I'm drawing both to a set and to a flush, e.g. I have reason to believe my opponent has two pair, and I have AA, with four to a flush, my outs are any ace (giving me a set) plus 9 flush cards (giving me a flush), totalling 11 outs. This gives:
46 - 11 = 35.
35 / 11 = 3.2
My odds of drawing a winner are 3.2 : 1
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