Two 8-handed solves, identical stacks, one difference: the bubble. Deep stacks open wider, short stacks stop flat-calling, and the chip leader defends more but calls jams less.
The big blind has two check-raise sizes and uses them for different jobs. Solver+ data on seven flops shows which hands raise big, which raise small, and why a big c-bet flips the rule.
The flop check-back is a second betting range, not a surrender. Solver+ data on two flops shows which hands check back, which turn cards trigger the delayed c-bet, how big it is, and the six-question checklist for the turn.
After a small flop bet and a big turn barrel, the river sorts your air into bluffs and give-ups. Solver+ data on four runouts shows which missed draws keep firing, which check, and why.
Most poker leaks feel like habits, not mistakes. These eight yes-or-no questions find them in about five seconds each, with the solved number that shows what the habit costs and the single fix that closes it.
Pot-Limit Omaha has no 169-hand grid, so ranges get taught as nine hand classes. That model hides its biggest spread inside one label: in a solved 100bb game, "one pair" runs from a mandatory 100% open down to 0.9%. Here is the layer underneath.
In a solved PKO final table the button that covers the whole table plays 24.3% of hands against an early open, while the hijack plays 13.4%. The extra volume arrives as flat calls, not 3-bets. Coverage, not aggression, sets your bounty ranges.
Most big multi-street bluffs deep in a tournament are spew. But three conditions, backed by the ICM risk premium, turn a big bluff from a gamble into the mandatory play.
A flop that checks through caps the preflop raiser. Solver+ shows the out-of-position player should seize the turn, and the turn card decides how hard to press.
The famous hero-calls are survivorship bias. Great bluff-catching is not a feeling, it is a break-even frequency set by bet size. Here is the math that replaces the read.
Ace-king flops nothing but two overcards two-thirds of the time. It is a drawing hand with a premium's reputation. Here is why AK is really the best bluff in poker, and how treating it like a made hand quietly costs you stacks.
On a satellite bubble, the ICM math says fold the best hand in poker. In a real spot, folding pocket aces is worth $996 and calling is worth $963. Here is exactly why chips you win can be worth nothing, and when this applies.
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