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Are all nut-flush-draw outs clean?

Test an ace-high flush draw with an overcard against top pair and a live kicker.

Let's poker Research DeskPublished 2026-08-31Verified 2026-08-31

01

Fixed setup

How much do the ace overcard and backdoor pair routes add beyond the flush draw?

Hero cards

Opponent cards

Current board

Exact result

45.56%

Hero showdown equity

Wins
902
45.56%
Ties
0
0%
Losses
1078
54.44%

1,980 legal ordered runouts were enumerated; ties contribute half the pot to each player's equity.

02

Hero final-hand distribution

Flush36.26%
One pair32.42%
High card22.73%
Two pair6.77%
Trips1.11%
Straight0.61%
Straight flush0.1%

03

Next-card sensitivity

Each row fixes the next card, then enumerates every remaining river. Values explain board changes; they are not betting advice.

Strongest

100%
100%
100%
100%
100%

Weakest

15.91%
15.91%
25%
25%
25%

04

How to interpret the result

An out should be judged by the final showdown it produces, not by whether it improves the hero in isolation.

A heart usually completes the nut flush, while an ace can make top pair. Running queens can also create a winning route that a one-card outs list misses.

The opponent can improve to two pair or trips, so pairing the hero is not always the end of the calculation.

Calculation boundary

This study fixes both known hands. It does not infer ranges, fold equity, bet sizes, position, or future action. The program removes known cards from a standard 52-card deck, enumerates every legal community-card runout, and compares final five-card hands with the practice-table evaluator. Build tests recalculate the source data.

Practice chips are for simulation and training only. They have no cash value and cannot be purchased, redeemed, transferred, gifted, or settled offline.