Call or fold with a draw

Pick your outs, the street and the size of the bet you face. Each row shows your chance to hit by the river, the equity the call needs and whether the call clears it.

Situations priced

480

outs, street and bet size

  • Linked in the tables5 bet sizes200
  • Outs counts1 to 2020
  • Streetsflop and turn2

Flop: call or fold by outs and bet size

From the flop you have two cards to come, so every chance below is the chance to hit by the river. Each table fixes one bet size and runs the outs from 1 to 20.

Flop, against a third-pot bet: $33.33 into $100
OutsBy the riverEquity neededMarginVerdict
1 out4.26%20.00%-15.74 pointsFold
2 outs8.42%20.00%-11.58 pointsFold
3 outs12.49%20.00%-7.51 pointsFold
4 outs16.47%20.00%-3.53 pointsFold
5 outs20.35%20.00%+0.35 pointsCall
6 outs24.14%20.00%+4.14 pointsCall
7 outs27.84%20.00%+7.84 pointsCall
8 outs31.45%20.00%+11.45 pointsCall
9 outs34.97%20.00%+14.97 pointsCall
10 outs38.39%20.00%+18.39 pointsCall
11 outs41.72%20.00%+21.72 pointsCall
12 outs44.96%20.00%+24.96 pointsCall
13 outs48.10%20.00%+28.10 pointsCall
14 outs51.16%20.00%+31.16 pointsCall
15 outs54.12%20.00%+34.12 pointsCall
16 outs56.98%20.00%+36.98 pointsCall
17 outs59.76%20.00%+39.76 pointsCall
18 outs62.44%20.00%+42.44 pointsCall
19 outs65.03%20.00%+45.03 pointsCall
20 outs67.53%20.00%+47.53 pointsCall
Flop, against a half-pot bet: $50 into $100
OutsBy the riverEquity neededMarginVerdict
1 out4.26%25.00%-20.74 pointsFold
2 outs8.42%25.00%-16.58 pointsFold
3 outs12.49%25.00%-12.51 pointsFold
4 outs16.47%25.00%-8.53 pointsFold
5 outs20.35%25.00%-4.65 pointsFold
6 outs24.14%25.00%-0.86 pointsFold
7 outs27.84%25.00%+2.84 pointsCall
8 outs31.45%25.00%+6.45 pointsCall
9 outs34.97%25.00%+9.97 pointsCall
10 outs38.39%25.00%+13.39 pointsCall
11 outs41.72%25.00%+16.72 pointsCall
12 outs44.96%25.00%+19.96 pointsCall
13 outs48.10%25.00%+23.10 pointsCall
14 outs51.16%25.00%+26.16 pointsCall
15 outs54.12%25.00%+29.12 pointsCall
16 outs56.98%25.00%+31.98 pointsCall
17 outs59.76%25.00%+34.76 pointsCall
18 outs62.44%25.00%+37.44 pointsCall
19 outs65.03%25.00%+40.03 pointsCall
20 outs67.53%25.00%+42.53 pointsCall
Flop, against a two-thirds-pot bet: $66.67 into $100
OutsBy the riverEquity neededMarginVerdict
1 out4.26%28.57%-24.32 pointsFold
2 outs8.42%28.57%-20.15 pointsFold
3 outs12.49%28.57%-16.08 pointsFold
4 outs16.47%28.57%-12.11 pointsFold
5 outs20.35%28.57%-8.22 pointsFold
6 outs24.14%28.57%-4.43 pointsFold
7 outs27.84%28.57%-0.73 pointsFold
8 outs31.45%28.57%+2.88 pointsCall
9 outs34.97%28.57%+6.40 pointsCall
10 outs38.39%28.57%+9.82 pointsCall
11 outs41.72%28.57%+13.15 pointsCall
12 outs44.96%28.57%+16.39 pointsCall
13 outs48.10%28.57%+19.53 pointsCall
14 outs51.16%28.57%+22.58 pointsCall
15 outs54.12%28.57%+25.55 pointsCall
16 outs56.98%28.57%+28.41 pointsCall
17 outs59.76%28.57%+31.19 pointsCall
18 outs62.44%28.57%+33.87 pointsCall
19 outs65.03%28.57%+36.46 pointsCall
20 outs67.53%28.57%+38.96 pointsCall
Flop, against a three-quarter-pot bet: $75 into $100
OutsBy the riverEquity neededMarginVerdict
1 out4.26%30.00%-25.74 pointsFold
2 outs8.42%30.00%-21.58 pointsFold
3 outs12.49%30.00%-17.51 pointsFold
4 outs16.47%30.00%-13.53 pointsFold
5 outs20.35%30.00%-9.65 pointsFold
6 outs24.14%30.00%-5.86 pointsFold
7 outs27.84%30.00%-2.16 pointsFold
8 outs31.45%30.00%+1.45 pointsCall
9 outs34.97%30.00%+4.97 pointsCall
10 outs38.39%30.00%+8.39 pointsCall
11 outs41.72%30.00%+11.72 pointsCall
12 outs44.96%30.00%+14.96 pointsCall
13 outs48.10%30.00%+18.10 pointsCall
14 outs51.16%30.00%+21.16 pointsCall
15 outs54.12%30.00%+24.12 pointsCall
16 outs56.98%30.00%+26.98 pointsCall
17 outs59.76%30.00%+29.76 pointsCall
18 outs62.44%30.00%+32.44 pointsCall
19 outs65.03%30.00%+35.03 pointsCall
20 outs67.53%30.00%+37.53 pointsCall
Flop, against a pot-size bet: $100 into $100
OutsBy the riverEquity neededMarginVerdict
1 out4.26%33.33%-29.08 pointsFold
2 outs8.42%33.33%-24.92 pointsFold
3 outs12.49%33.33%-20.84 pointsFold
4 outs16.47%33.33%-16.87 pointsFold
5 outs20.35%33.33%-12.98 pointsFold
6 outs24.14%33.33%-9.19 pointsFold
7 outs27.84%33.33%-5.49 pointsFold
8 outs31.45%33.33%-1.88 pointsFold
9 outs34.97%33.33%+1.63 pointsCall
10 outs38.39%33.33%+5.06 pointsCall
11 outs41.72%33.33%+8.39 pointsCall
12 outs44.96%33.33%+11.63 pointsCall
13 outs48.10%33.33%+14.77 pointsCall
14 outs51.16%33.33%+17.82 pointsCall
15 outs54.12%33.33%+20.78 pointsCall
16 outs56.98%33.33%+23.65 pointsCall
17 outs59.76%33.33%+26.43 pointsCall
18 outs62.44%33.33%+29.11 pointsCall
19 outs65.03%33.33%+31.70 pointsCall
20 outs67.53%33.33%+34.20 pointsCall

Turn: call or fold by outs and bet size

On the turn one card is left, so the chance by the river and the chance on the next card are the same. Each table fixes one bet size and runs the outs from 1 to 20.

Turn, against a third-pot bet: $33.33 into $100
OutsBy the riverEquity neededMarginVerdict
1 out2.17%20.00%-17.83 pointsFold
2 outs4.35%20.00%-15.65 pointsFold
3 outs6.52%20.00%-13.48 pointsFold
4 outs8.70%20.00%-11.30 pointsFold
5 outs10.87%20.00%-9.13 pointsFold
6 outs13.04%20.00%-6.96 pointsFold
7 outs15.22%20.00%-4.78 pointsFold
8 outs17.39%20.00%-2.61 pointsFold
9 outs19.57%20.00%-0.43 pointsFold
10 outs21.74%20.00%+1.74 pointsCall
11 outs23.91%20.00%+3.91 pointsCall
12 outs26.09%20.00%+6.09 pointsCall
13 outs28.26%20.00%+8.26 pointsCall
14 outs30.43%20.00%+10.43 pointsCall
15 outs32.61%20.00%+12.61 pointsCall
16 outs34.78%20.00%+14.78 pointsCall
17 outs36.96%20.00%+16.96 pointsCall
18 outs39.13%20.00%+19.13 pointsCall
19 outs41.30%20.00%+21.30 pointsCall
20 outs43.48%20.00%+23.48 pointsCall
Turn, against a half-pot bet: $50 into $100
OutsBy the riverEquity neededMarginVerdict
1 out2.17%25.00%-22.83 pointsFold
2 outs4.35%25.00%-20.65 pointsFold
3 outs6.52%25.00%-18.48 pointsFold
4 outs8.70%25.00%-16.30 pointsFold
5 outs10.87%25.00%-14.13 pointsFold
6 outs13.04%25.00%-11.96 pointsFold
7 outs15.22%25.00%-9.78 pointsFold
8 outs17.39%25.00%-7.61 pointsFold
9 outs19.57%25.00%-5.43 pointsFold
10 outs21.74%25.00%-3.26 pointsFold
11 outs23.91%25.00%-1.09 pointsFold
12 outs26.09%25.00%+1.09 pointsCall
13 outs28.26%25.00%+3.26 pointsCall
14 outs30.43%25.00%+5.43 pointsCall
15 outs32.61%25.00%+7.61 pointsCall
16 outs34.78%25.00%+9.78 pointsCall
17 outs36.96%25.00%+11.96 pointsCall
18 outs39.13%25.00%+14.13 pointsCall
19 outs41.30%25.00%+16.30 pointsCall
20 outs43.48%25.00%+18.48 pointsCall
Turn, against a two-thirds-pot bet: $66.67 into $100
OutsBy the riverEquity neededMarginVerdict
1 out2.17%28.57%-26.40 pointsFold
2 outs4.35%28.57%-24.22 pointsFold
3 outs6.52%28.57%-22.05 pointsFold
4 outs8.70%28.57%-19.88 pointsFold
5 outs10.87%28.57%-17.70 pointsFold
6 outs13.04%28.57%-15.53 pointsFold
7 outs15.22%28.57%-13.35 pointsFold
8 outs17.39%28.57%-11.18 pointsFold
9 outs19.57%28.57%-9.01 pointsFold
10 outs21.74%28.57%-6.83 pointsFold
11 outs23.91%28.57%-4.66 pointsFold
12 outs26.09%28.57%-2.48 pointsFold
13 outs28.26%28.57%-0.31 pointsFold
14 outs30.43%28.57%+1.86 pointsCall
15 outs32.61%28.57%+4.04 pointsCall
16 outs34.78%28.57%+6.21 pointsCall
17 outs36.96%28.57%+8.39 pointsCall
18 outs39.13%28.57%+10.56 pointsCall
19 outs41.30%28.57%+12.73 pointsCall
20 outs43.48%28.57%+14.91 pointsCall
Turn, against a three-quarter-pot bet: $75 into $100
OutsBy the riverEquity neededMarginVerdict
1 out2.17%30.00%-27.83 pointsFold
2 outs4.35%30.00%-25.65 pointsFold
3 outs6.52%30.00%-23.48 pointsFold
4 outs8.70%30.00%-21.30 pointsFold
5 outs10.87%30.00%-19.13 pointsFold
6 outs13.04%30.00%-16.96 pointsFold
7 outs15.22%30.00%-14.78 pointsFold
8 outs17.39%30.00%-12.61 pointsFold
9 outs19.57%30.00%-10.43 pointsFold
10 outs21.74%30.00%-8.26 pointsFold
11 outs23.91%30.00%-6.09 pointsFold
12 outs26.09%30.00%-3.91 pointsFold
13 outs28.26%30.00%-1.74 pointsFold
14 outs30.43%30.00%+0.43 pointsCall
15 outs32.61%30.00%+2.61 pointsCall
16 outs34.78%30.00%+4.78 pointsCall
17 outs36.96%30.00%+6.96 pointsCall
18 outs39.13%30.00%+9.13 pointsCall
19 outs41.30%30.00%+11.30 pointsCall
20 outs43.48%30.00%+13.48 pointsCall
Turn, against a pot-size bet: $100 into $100
OutsBy the riverEquity neededMarginVerdict
1 out2.17%33.33%-31.16 pointsFold
2 outs4.35%33.33%-28.99 pointsFold
3 outs6.52%33.33%-26.81 pointsFold
4 outs8.70%33.33%-24.64 pointsFold
5 outs10.87%33.33%-22.46 pointsFold
6 outs13.04%33.33%-20.29 pointsFold
7 outs15.22%33.33%-18.12 pointsFold
8 outs17.39%33.33%-15.94 pointsFold
9 outs19.57%33.33%-13.77 pointsFold
10 outs21.74%33.33%-11.59 pointsFold
11 outs23.91%33.33%-9.42 pointsFold
12 outs26.09%33.33%-7.25 pointsFold
13 outs28.26%33.33%-5.07 pointsFold
14 outs30.43%33.33%-2.90 pointsFold
15 outs32.61%33.33%-0.72 pointsFold
16 outs34.78%33.33%+1.45 pointsCall
17 outs36.96%33.33%+3.62 pointsCall
18 outs39.13%33.33%+5.80 pointsCall
19 outs41.30%33.33%+7.97 pointsCall
20 outs43.48%33.33%+10.14 pointsCall

How to read these tables

Find your street, pick the table for the bet you face, and read across the row for your outs. The margin is your chance to hit minus the equity the call needs, in percentage points, and the verdict follows its sign. A positive margin is a call and a negative one is a fold.

For example, a flush draw (9 outs) on the flop hits 34.97% by the river against 25.00% for a half-pot bet, while the same 9 outs on the turn hit 19.57%. The first is a call and the second is a fold.

How this is computed

Every chance is the exact closed form: from the flop, one minus the share of pairs of unseen cards that hold no out, and from the turn, outs divided by the 46 unseen cards. No simulation is involved.

The equity a call needs is call / (pot + bet + call), which is f / (1 + 2f) for a bet of f times the pot. The margin is your chance minus that price, and a tie to four decimals is called break-even.

The tables assume you call the whole bet, win the whole pot whenever you hit, see no more betting, and draw from equally likely unseen cards with none removed for an opponent's hand.

Computed from the closed form by the GeorgeLiPoker math library.

Updated

Questions

How do I know whether to call with a draw?

Compare your chance to hit with the equity the call needs. A half-pot bet needs 25.00% and a pot-size bet needs 33.33%. 9 outs on the flop hit 34.97% by the river, which beats both, so that draw calls each of them.

Why do the tables start from the flop and the turn?

Those are the two streets where cards are still to come and a bet still has to be priced. From the flop you see up to two cards, and from the turn you see one, so the same 9 outs hit 34.97% on the flop and 19.57% on the turn.

Which bet sizes are listed here?

The tables cover 5 common sizes: third-pot, half-pot, two-thirds-pot, three-quarter-pot, pot-size. The page for each draw also compares every one of the 12 sizes the site prices, so the margin against a bigger or smaller bet is one table away, and the calculators accept any bet you type.

Do these tables include implied odds?

No. They assume you call the full bet, win the whole pot on a hit and see no more betting. Each draw page adds a table showing how much future winnings would change the price, and the pot odds calculator accepts an amount for implied odds.

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