Poker Outs Chart

Compare one through twenty outs using exact next-card and by-river probability, odds against, and mental-rule estimates. The poker outs chart calculates every row from combinations and lets you filter the useful range rather than copying a static table.

OutsNext cardRule of 2Rule 2 errorBy riverRule of 4Rule 4 errorOdds against next
12.13%2.00%-0.13 pp4.26%4.00%-0.26 pp46.00 : 1
24.26%4.00%-0.26 pp8.42%8.00%-0.42 pp22.50 : 1
36.38%6.00%-0.38 pp12.49%12.00%-0.49 pp14.67 : 1
48.51%8.00%-0.51 pp16.47%16.00%-0.47 pp10.75 : 1
510.64%10.00%-0.64 pp20.35%20.00%-0.35 pp8.40 : 1
612.77%12.00%-0.77 pp24.14%24.00%-0.14 pp6.83 : 1
714.89%14.00%-0.89 pp27.84%28.00%+0.16 pp5.71 : 1
817.02%16.00%-1.02 pp31.45%32.00%+0.55 pp4.87 : 1
919.15%18.00%-1.15 pp34.97%36.00%+1.03 pp4.22 : 1
1021.28%20.00%-1.28 pp38.39%40.00%+1.61 pp3.70 : 1
1123.40%22.00%-1.40 pp41.72%44.00%+2.28 pp3.27 : 1
1225.53%24.00%-1.53 pp44.96%48.00%+3.04 pp2.92 : 1

By-river means at least one hit

The two-card column subtracts the probability of missing both cards from one. It assumes the outs set remains fixed after the turn.

A chart cannot validate your outs

The table converts a count; it cannot detect duplicate, dirty, or counterfeit outs. Enumerate the cards first when hand context matters.

Approximation error is visible

Rule-of-2 and Rule-of-4 columns are quick estimates. Comparing them with exact values shows when convenience costs meaningful precision.

Worked examples

Four outs

A four-out gutshot is less than 9% on the next card with 47 unseen cards.

Fifteen nominal outs

Large combo draws make shortcut error more visible and also deserve extra scrutiny for dirty outs.

Frequently asked questions

Why does the chart assume 47 unseen cards?

It models a flop after two hole cards and three board cards are known.

Can one card count twice?

No. Physical outs must be unique.

Does by-river add turn and river percentages?

No. It uses the complement of missing both, avoiding double counting.

Can I download the rows?

The browser can generate a local CSV without uploading data.

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