River redraws · Hand Lab
How safe is a made flush against a set on the turn?
Enumerate all 44 legal rivers for a made ace-high flush against a set.
01
Fixed setup
Which river ranks convert the set into a full house or quads?
Hero cards
Opponent cards
Current board
Exact result
77.27%
Hero showdown equity
- Wins
- 34
- 77.27%
- Ties
- 0
- 0%
- Losses
- 10
- 22.73%
44 legal ordered runouts were enumerated; ties contribute half the pot to each player's equity.
02
Hero final-hand distribution
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
Weakest
04
How to interpret the result
A made flush is ahead but not locked. The set redraw is defined by board-pairing cards, and the exact river inventory is small enough to audit by hand.
The remaining nine makes quads. A seven, two, or king pairs the board and can make a full house using the opponent’s pocket nines.
Because only one card remains, the result can be verified by counting named river cards and comparing that count with the enumerated table.
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.