Part: Part Five - Betting Before the Flop

Set-mining in a multiway pot

Pre-flop
Blinds 100 / 200Pot 1,500 (7.5 BB)BTN33 25,000 (125 BB)YOUto actMP 25,000 (125 BB)Openerraises 600 (3 BB)HJ 25,000 (125 BB)Callercalls 600 (3 BB)SB 25,000 (125 BB)posts 100 (0.5 BB)BB 25,000 (125 BB)posts 200 (1 BB)D

A player opens to 600, another calls, and it's on you on the button with 3♣3♦.

An opener and a caller are already in; you hold 3♣3♦ on the button. Best?

WhyTwo players already in the pot is exactly the condition that makes a tiny pair worth playing: you flop a set about one time in eight, there are now two stacks to pay you off, and you have position to control the price. Three-betting only bloats a pot you're behind in; folding leaves a clearly profitable call on the table.
What happensBoth blinds step aside and you take a flop three-handed. The plan from here is simple: hit the set or be done with the hand.
Flop
Heads-upPot 2,100 (10.5 BB)AK7BTN33 25,000 (125 BB)YOUno set - just a small pairMP 25,000 (125 BB)Openerbets 1,500 (7.5 BB)D

Flop A♠ K♦ 7♣ - you missed your set entirely. The opener bets into the field.

You whiffed the set on an ace-king flop and he bets. Best?

WhyAce-king-seven with pocket threes is a total whiff - no set, no draw, barely any equity against a bettor with a player still to act behind you. Set-mining only works if the release is automatic: no set, no hand, no hero-call to 'see one more.'
What happensYou fold and it costs nothing beyond the one bet you invested. Set-mining stays cheap precisely because most of the time it ends right here, on the flop.
You called for one reason - to flop a set with two players to pay it off - and released the instant the board bricked. The call and the fold are the same skill; the discipline to let go is what makes the mine profitable.

Small pairs earn their keep by flopping sets - more opponents mean more implied odds and more stacks to win, but only if you'll fold the times the set doesn't come.