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Flawless Poker

Universal Law 17

LONE PLANETS

One random hand

Against one unknown hand, even a weak holding wins sometimes. These shares come from 300,000 deals each.

All-in equity against one random hand. Each row is a simulation of 300,000 deals.
HandEquity
Pocket aces85.2%
Pocket kings82.4%
Ace-king suited67.2%
Ace-king offsuit65.4%
Ten-nine suited54.1%
Deuces50.4%
Three-deuce suited36.1%
Seven-deuce offsuit34.5%
Three-deuce offsuit32.4%

Seven-deuce offsuit still wins about a third of these all-ins. In these runs, three-deuce offsuit finished lower, at about 32%. The suit matters: three-deuce suited gains about 4 points over three-deuce offsuit.

FLAWLESS POKER / STUDY CHART

Even the worst hand wins sometimes

Seven-deuce offsuit wins about 35 percent of preflop all-ins against one random hand.
A 100,000-deal all-in simulation of seven-deuce offsuit against one random hand, including splits. The share is about 35 percent. That is why bad beats happen, and it is still a fold before the flop in a normal game. Open full-size chart ↗

These counts are for study and post-session review. Where a row comes from a simulation, the caption names how many deals were run. Where a stack or a pot is made up, the caption says so. None of these figures is an instruction for a live pot.