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Flawless Poker

Universal Law 21

STAR CHARTS

Hand reading by street

A strong flop is a snapshot. Two more cards are coming, and a single random hand still has a way through.

Each row deals every possible hand to one opponent (1,081 of them) and then every turn and river (990 each). The first number asks who is ahead on the flop. The second asks who has the pot at showdown.

One random opponent, every hand and every runout counted.
Your hand on the flopAhead on the flopWins by the riverTiesEquity
Top pair, top kicker: As Kd on Kh 8c 3d96.6%89.3%0.6%89.7%
Overpair: Qs Qh on 8c 6d 3h95.5%80.5%0.1%80.6%
Top pair, weak kicker: Kd 5d on Kh 8c 3s91.1%82.8%2.5%84.1%

Against one random hand, the overpair is ahead on 95% of flops, but it holds to the river only about 81% of the time. Of the hands behind on the flop, about 1 in 6 catch up by the river.

When the other hand is a pocket pair.

Take Qs Qh on 9c 6d 2h, and suppose the opponent holds some pocket pair. 64 pocket-pair combinations are still possible. 9 of them are sets (nines, sixes or deuces, 3 combinations each). That is 14.1%, about 1 in 7.1.

Queens against a set and against an underpair, flop to river, all 990 runouts.
Matchup on 9c 6d 2hQueens equity
Qs Qh vs 9s 9h (set)8.6%
Qs Qh vs Js Jh (underpair)91.6%
What this counts.

Real opponents do not hold random hands. Their actions narrow the range. These rows measure the deck before any of that, as a baseline for review between sessions.

FLAWLESS POKER / STUDY CHART

Ahead on the flop is not home yet

An overpair is ahead of one random hand on 95% of flops but wins about 81% by the river.
Every opponent hand and every turn and river counted. The gold bars show who leads on the flop; the navy bars show who has the pot at showdown. Open full-size chart ↗

These counts are for study and post-session review. Where a row comes from a simulation, the caption names how many deals were run. Where a stack or a pot is made up, the caption says so. None of these figures is an instruction for a live pot.