BLACK HOLES

Counterfeits and kickers

A hand that is ahead on the flop can still be caught by the two cards left. These rows count every remaining runout.

Each flop row runs all 990 turn-and-river combinations, 45 × 44 ÷ 2. The turn row runs the 44 rivers that remain.

Every remaining runout for the cards named.

Spot	Hand A equity	What the runouts do
7s 6s against Ah Ac, on 7h 6d 2c	74.5%	Two pair is well ahead. About 1 runout in 4 still saves the aces, most often by pairing the board high enough to counterfeit the low two pair, or by giving the aces a set.
As Kd against Ac Qh, on Ah 8d 3c	87.3%	Same top pair, better kicker. Ace-queen needs a queen, or a split, to escape.
As Kd against Ac Qh, on Jh Jd Ts Tc	52.3%	The two pair on the board is shared, so the pot splits on 82% of the rivers. Equity sits just over half.

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.