In ring games, yes. In tournaments, he can sit back and wait on a good hand and be right one time and get everything.

# Beyond ranges

Depends on the stack sizes involved.

Yes, of course. If heâs got a healthy stack, wait and pounce. If heâs got a short stack, much or shove and pray.

Yes, of course this ignores ICM considerations; weâre talking cEV rather than $EV. The principle still applies.

Variance is part of statistics, which is part of math. If you flip a coin 100 times, thereâs a possibility that youâll get exactly 50 heads and 50 tails, but 92% of the time you wonât. A big part of succeeding in poker is understanding not just EV, but variance as well, which gets fed into areas of poker as diverse as bankroll management and ICM distortions for tournament play.

Poker is a game built on discrete statistics. Differential calculus wonât get you far here - itâs an entirely separate branch of mathematics. Statistics feed into range analysis and decision trees to determine optimal play. Certainly, observation is important, but *what* youâre observing and *how* that influences your actions should be driven by the underlying math. Psychology, storytelling, pressure, and all other non-math-driven considerations should be entirely irrelevant, because they introduce distortions that are exploitable and will lead to suboptimal play.

Also, lawl at PvNP.