77 Push/Fold: When to Shove Pocket Sevens

77 is a Nash shove from the Button at every stack up to 25bb; from UTG it shoves up to 19bb in 6-max and up to 12bb in 9-max.

In 6-max it shoves from Under the Gun up to 19bb, the Cutoff at every stack up to 25bb, the Button at every stack up to 25bb, and the Small Blind at every stack up to 25bb.

In 9-max it shoves from Under the Gun up to 12bb, the Middle Position up to 16bb, the Cutoff at every stack up to 25bb, the Button at every stack up to 25bb, and the Small Blind at every stack up to 25bb.

Ranks #13 of 169 hands by how often it shoves · shove in 197 of 225 solved spots · 6 combos

Verdict by seat and stack

77 — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤19bbShoveShoveShoveShoveShove69%
CO25bb+ShoveShoveShoveShoveShoveShove
BTN25bb+ShoveShoveShoveShoveShoveShove
SB25bb+ShoveShoveShoveShoveShoveShove
77 — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤12bbShoveShoveShoveShove36%18%
MP≤16bbShoveShoveShoveShoveShove27%
CO25bb+ShoveShoveShoveShoveShoveShove
BTN25bb+ShoveShoveShoveShoveShoveShove
SB25bb+ShoveShoveShoveShoveShoveShove

How 77 compares

77 is a shove in 197 of the 225 solved spots, 88 in 209, and 66 in 191. A pocket pair is rarely dominated — against two overcards it is a coin-flip or better — which is why pairs keep shoving deeper than unpaired hands with similar high cards.

Small and middle pairs win mostly by holding up unimproved or flopping a set; once called they are usually racing two overcards.

77 is an edge hand in 4 published spots, where the Nash solution mixes it: 9-max UTG 15bb (36%), 6-max UTG 20bb (69%), 9-max MP 20bb (27%), and 9-max UTG 20bb (18%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

77 push/fold FAQ

Is 77 a shove at 10bb?

At 10bb in 6-max, 77 is a shove from Under the Gun, the Cutoff, the Button, and the Small Blind. At 10bb in 9-max, 77 is a shove from Under the Gun, the Middle Position, the Cutoff, the Button, and the Small Blind.

Up to how many big blinds should 77 shove from the Button?

From the Button, 77 is a Nash shove at every stack up to 25bb in 6-max and 9-max.

Up to how many big blinds should 77 shove from the Small Blind?

From the Small Blind, 77 is a Nash shove at every stack up to 25bb in 6-max and 9-max.

What stack size do these verdicts assume?

Stacks are measured in big blinds behind the posted blinds, chip-EV, no antes, solved from 1 to 25bb. Shove means the Nash solution pushes the hand at least 95% of the time, fold at most 5%, and anything between is a mix.

How these numbers are computed: methodology and open dataset.

Related

8866All 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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