Range Fog
Ace-king is 67% against a random hand and 12% against aces. The same cards. Drag the slider and watch the opponent’s possible holdings expand from a few premium hands to everything — and your equity move with them.
Change your hand or add a board; the curve recomputes.
The range, as it widens
Hands enter in order of their equity against one random hand; the edge of the range is hatched where a class is only partly included. This is an educational example of how a range grows, not a recommendation of what to play.
Equity is not a property of your hand
Your equity against the opponent’s range, as the range widens.
Dots are exact where the range fits the enumeration budget, simulated (40,000 trials) otherwise. The green dot is the current slider position.
What the curve is telling you
Against a very tight range, a strong hand looks weak: the few hands that raise you are the ones that beat you. As the range widens it fills with hands you dominate, and your equity climbs toward its value against a random hand. For weaker hands the curve can run the other way.
The shape is the lesson. Your equity is a statement about the opponent’s range as much as about your cards, which is why the same hand is a fold in one spot and a raise in another.
About the ordering
Hands are ordered by equity against one random hand. This is an educational example of how ranges widen, not a recommendation of what to play.
For a specific shape rather than a slider, use Hand vs range, where you can paint any range and colour it by which hands beat you.