Poker Outs to Odds

To find your chance of improving a drawing hand based on the number of outs, use the following table:

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.

View THETA Poker Pro in App Store

Return to THETA Poker Pro App