Level 4 · Lesson 11
Equity & expected value
Everything in this course — pot odds, position, ranges — comes down to one idea: making decisions that earn money on average. After this lesson, you'll judge any play by its expected value, the way every winning player measures the game — so you stop chasing results and start thinking long-term.
Equity: your share of the pot
Equity is the percentage of the time your hand wins at showdown against your opponent's hand or range, if the cards were dealt out many times. If you'd win a $100 pot 60% of the time, your equity is 60% — worth $60 of that pot on average. The drawing math from Lesson 7 was equity in disguise: a 9-out flush draw has about 36% equity to improve by the river.
Expected value: the average outcome of a choice
Expected value (EV) is what a decision earns or loses on average if you made it over and over. A decision with positive EV (+EV) makes money long-term; negative EV (−EV) loses it. You can't control the next card, but you can control whether your decisions are +EV — and over enough hands, that's all that matters.
A simple EV calculation
Say you go all-in for $100 into a $100 pot with 60% equity. Over many repeats:
- 60% of the time you win — taking the $100 in the pot: +$100.
- 40% of the time you lose your $100: −$100.
Weigh those by how often each happens: 0.6 × $100 − 0.4 × $100 = +$20. The play makes $20 on average every time you make it — even though on any single hand you win or lose the whole $100. That's why pros shrug off bad beats: they made a +EV decision, and the variance is just noise.
Why this reframes everything
Position is +EV because information improves your decisions. Tight starting hands are +EV because they hold more equity. Charging draws with bigger bets is +EV because it denies opponents the equity they're trying to realize. Every lesson in this course is a route to the same destination: decisions that profit on average.
Check yourself — no peeking
Answer each from memory. Retrieving the answer is what builds lasting recall.