Poker Atout

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Poker Outs to Odds

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  • Poker is a game of ups and downs; of winning streaks, losing streaks, and expectation. Because of this, your bottom line can only be calculated over the long run. Because of this, your bottom line can only be calculated over the long run.
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To find your chance of improving a drawing hand based on the number of outs, use the following table:OutlinePoker Atout
OutsTurn OddsRiver OddsTurn+River Odds
1 Out45.9-to-1 (2.13%)45.1-to-1 (2.17%)22.3-to-1 (4.26%)
2 Outs22.5-to-1 (4.26%)22.0-to-1 (4.35%)10.9-to-1 (8.42%)
3 Outs14.7-to-1 (6.38%)14.3-to-1 (6.52%)7.0-to-1 (12.49)%
4 Outs10.8-to-1 (8.51%)10.5-to-1 (8.70%)5.1-to-1 (16.47%)
5 Outs8.4-to-1 (10.64%)8.2-to-1 (10.87%)3.9-to-1 (20.35%)
6 Outs6.8-to-1 (12.77%)6.7-to-1 (13.04%)3.2-to-1 (24.14%)
7 Outs5.7-to-1 (14.89%)5.6-to-1 (15.22%)2.6-to-1 (27.84%)
8 Outs4.9-to-1 (17.02%)4.8-to-1 (17.39%)2.2-to-1 (31.45%)
9 Outs4.2-to-1 (19.15%)4.1-to-1 (19.57%)1.9-to-1 (34.97%)
10 Outs3.7-to-1 (21.28%)3.6-to-1 (21.74%)1.6-to-1 (38.39%)
11 Outs3.3-to-1 (23.40%)3.2-to-1 (23.91%)1.4-to-1 (41.72%)
12 Outs2.9-to-1 (25.53%)2.8-to-1 (26.09%)1.2-to-1 (44.96%)
13 Outs2.6-to-1 (27.66%)2.5-to-1 (28.26%)1.1-to-1 (48.10%)
14 Outs2.4-to-1 (29.79%)2.3-to-1 (30.43%)0.95-to-1 (51.16%)
15 Outs2.1-to-1 (31.91%)2.1-to-1 (32.61%)0.85-to-1 (54.12%)
16 Outs1.9-to-1 (34.04%)1.9-to-1 (34.78%)0.75-to-1 (56.98%)
17 Outs1.8-to-1 (36.17%)1.7-to-1 (36.96%)0.67-to-1 (59.76%)
18 Outs1.6-to-1 (38.30%)1.6-to-1 (39.13%)0.60-to-1 (62.44%)
19 Outs1.5-to-1 (40.43%)1.4-to-1 (41.30%)0.54-to-1 (65.03%)
20 Outs1.3-to-1 (42.55%)1.3-to-1 (43.48%)0.48-to-1 (67.53%)
21 Outs1.2-to-1 (44.68%)1.2-to-1 (45.65%)0.43-to-1 (69.94%)
22 Outs1.1-to-1 (46.81%)1.1-to-1 (47.83%)0.38-to-1 (72.25%)
To calculate the percentage by hand, use any of the following approximations:
AccuracyTurnRiverTurn+RiverComments
ExcellentOuts times 2.13%Outs times 2.17%*Turn odds plus River odds minus Turn odds times River oddsMore accurate than you'll ever need
Very GoodOuts times 2-1/8%Outs times 2-1/6%**Outs times 4%, minus (Outs - 8) if 9 or more OutsAs accurate as you'll ever need
GoodOuts times 2%, plus 1% if 5+ Outs, plus 2% if 13+ OutsSame as Turn**Outs times 4%, minus (Outs - 8) if 9 or more OutsThe easiest reasonable approximation
BadOuts times 2% plus 1%Same as TurnOuts times 4%Not good if low or high numbers of outs

* For example, using the Good approximation, if you have 9 Outs, then you have a 19% chance on the turn, a 19% chance on the river, and a 38% minus 19% of 19% (close to 20% of 20%, which is 4%) equals a 34% chance on the turn and river combined.

** From David Solomon, mentioned in Harrington on Hold 'em: Volume 2.

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Want to find out what the odds are for winning a particular poker hand against another or the odds of a certain hand winning at all? Try one of these excellent free online poker odds calculators.

Poker Atout
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Pro Poker Tools

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Cardplayer.com Poker Odds Calculator

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Pokerlistings Hold'em Odds Calculator

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Twodimes.net Poker Odds Calculator

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While this calculator isn't graphically based as the ones above are, it has a much wider range of poker games it can calculate odds for, including Hold'em, Omaha, many seven-card stud games, and deuce-to-seven lowball. You need to type in all the hands and board cards, as well as dead cards, but if you have a hand history, it's just a matter of cutting and pasting.

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Poker Outlaws

Poker Stove Odds Calculator

Poker Out Loud

Poker Stove is a great free download for Windows users that lets you calculate your odds against a range of hands in Texas Hold'em. It's a great tool for more advanced players who are able to put an opponent on a few possible hands -- and then see what their hole cards are worth against that range of hands. Since often you never find out what your opponent is holding, this is a great way to see if your action based on your read of the other player is profitable or smart.