What is every hand worth on a 7 7 2 paired flop?

Pair the middle of the deck instead of the top and the caste system gets stranger. On 7 7 2, the hands that truly connect are hands almost nobody plays: any seven flops trips, and the sevens people do hold, 76, 87, A7 suited, tend to be speculative types. Meanwhile the entire premium tier arrives with an overpair to the board and nothing more. It makes for lopsided, awkward pots.

The champion combos are comedy material. Pocket sevens flop four of a kind, with exactly one combo of the hand left in the deck to do it. 72 offsuit, the official worst hand in poker, flops sevens full of deuces and beats effectively everything else. Every other seven holds trips, with the kicker sorting out the family feud, and pocket deuces sneak in with the underfull, deuces full of sevens, a monster wearing a paper bag.

One step down live the pocket pairs, all upgraded to two pair by the board and all well ahead of a random hand: aces on top, then kings, queens, and so on down the ladder. The step below that is where it gets ugly. AK unimproved is only a modest favorite, KQ is close to a coin flip, and pretty connectors like JT suited are outright underdogs. Nothing about a 7 7 2 flop wants to help a broadway hand.

The mistake is misreading how little the flop changed for both ranges. Players holding big cards keep betting as if paint were equity, and players facing bets fold pairs that are almost certainly best. Against one random hand the rule of thumb is blunt: a pair of eights outperforms AK here, and it is not particularly close. When the board pairs low, the pot belongs to pockets and sevens.