Value betting gets worse hands to call; bluffing gets better hands to fold. The third job of betting sits between them: equity denial — charging hands that could improve past you, making them pay above their equity for the privilege of seeing the next card. When you're ahead but vulnerable (an overpair on a drawy board, top pair on a connected one), the question isn't "will worse hands call" so much as "are the hands BEHIND me paying the right price to outdraw me?"

The pricing comes straight from earlier lessons: a bet of s pots lays the caller breakeven equity of s / (1 + 2s), and a draw's true equity is its out count converted (the Outs topic's arithmetic). Denial works when the demanded price exceeds the draw's real equity — the caller continues at a loss even before any bluffing is counted. The table below runs every common size against the classic draws:

Two honest lessons hide in that grid. First, on the FLOP almost nothing denies a flush draw outright — with two cards to come it hits ~35% of the time, more than any polite size charges, which is why flop betting with vulnerable hands is partly about building a pot you can protect bigger on LATER streets. Second, by the TURN the tables turn completely: one card left cuts the flush draw to 20%, and now even modest sizes overcharge it badly. Street-by-street denial — bet flop, bet turn — is what actually shuts draws down, not one heroic sizing.

The flip side keeps this topic honest: denial only collects when worse hands CONTINUE. Against someone who folds everything but the nuts, the "protection" bets win nothing — you've folded out air that would have missed anyway. And this app's grader prices every bet through its own fold-and-equity terms regardless of intent: a denial-sized bet grades well when the ranges support it and poorly when they don't, exactly like any other bet.