Hand vs range
You never know the one hand; you know the hands they could have. Paint that set, and see your equity against all of it — with each combination weighted correctly and the ones your cards and the board make impossible removed.
Add a flop to see how the board changes the picture.
Opponent's range
20.0% of hands · 209.9 live combos (55.3 blocked)
Paint the matrix, or type ranges like 22+, A5s+, KTs-K7s, AA:0.5. Enter applies.
How a range is weighed
A range is a list of hand classes with weights. Equity against it is not an average of the classes — it is an average of the combinations. Pocket queens are 6 combinations and ace-king offsuit is 12, so AKo counts twice as much as QQ in a range that contains both at full weight.
Cards you can see remove combinations. Holding an ace leaves the opponent 3 ways to have aces instead of 6; a queen on the board leaves 3 ways to have queens. The calculator removes those before weighing anything, and tells you how many were blocked.
Postflop the result is exact: every live combination against every run-out. Preflop it is simulated with 200,000 deals and the standard error is shown.
About the sample ranges
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.
Real ranges depend on position, stack depth, action and the player. Build your own with the matrix or the notation box: 77+, A9s+, KQs, AJo+ is a typical shape; AA:0.5 includes half of the aces combinations.
To see how much the choice of range matters, open Range Fog and drag one slider from tight to loose.