♠️ Poker Math Pro ♣️

Think you know your pot odds? Prove it.

or 📖 Learn the Concepts First
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1. Break-Even Equity (\(w\))

The minimum percentage you need to win for a call to be profitable (\(EV = 0\)).

  • Let \(c\) = The amount you must call
  • Let \(p\) = The total current pot size (including opponent's bet)
\[ w = \frac{c}{p + c} \]
Example: Pot is $200. Villain bets $100.
\(p = \$300\) ($200 pot + $100 bet). \(c = \$100\).
\[ w = \frac{100}{300 + 100} = 25\% \]
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2. Actual Equity
(Rule of 4 & 2)

Your mathematical chance of hitting your winning card (your "outs"). Keep it simple with the Rule of 4 and 2 to calculate your percentages on the fly.

Flop (2 cards to come): Outs × 4
Turn (1 card to come): Outs × 2
Example: You have a flush draw on the Flop (9 outs).
Actual Equity = \( 9 \times 4 = 36\% \)
The Golden Rule: If your Actual Equity > Break-Even Equity (\(w\)), you should call!
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3. Implied Odds (\(w_{implied}\))

If you hit your draw, you expect to win future money on later streets. This lowers the equity required right now.

  • Let \(f\) = Future money you expect to win
\[ w_{implied} = \frac{c}{p + c + f} \]
Example: Turn BE% requires 25%. Your Actual Equity is only 18% (bad call).
But you know Villain will pay a $300 river bet if you hit. \(f = \$300\). That future reward lowers your Break-Even requirement drastically, making it a good call.
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4. Reverse Implied Odds (\(w_{reverse}\))

The hidden liability of hitting your draw, but losing even more money on the next street because your opponent makes a stronger hand.

  • Let \(l\) = The future money you expect to lose
\[ w_{reverse} = \frac{c + l}{p + c + l} \]
Because this is money you are highly likely to lose, it increases your total Risk. We must add \(l\) to both your cost (\(c\)) and the final total pot size.
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Poker Glossary

Key terms used throughout the quiz — a quick refresher for players who know the game but want a terminology recap.

Pre-Flop — The first betting round after players receive their 2 hole cards (pocket cards).
Flop — The first 3 community cards dealt face-up. A second betting round follows.
Turn — The 4th community card. Also called "Fourth Street." One more card to come.
River — The 5th and final community card. Last chance to bet before showdown.
Outs — Cards remaining in the deck that will complete your winning hand (e.g., 9 outs for a flush draw).
Pot — The total chips/money in the middle. Grows as players bet, call, or raise.
Fold — Give up your hand and forfeit any chips already in the pot.
Call — Match the current bet to stay in the hand.
Raise — Increase the bet, forcing others to match your new amount or fold.
Equity — Your mathematical share of the pot based on your probability of winning.
Draw — A hand that isn't complete yet but could become strong (e.g., 4 cards to a flush).
Villain — Your opponent in the hand. "Hero" is you.
All-In — Betting all your remaining chips. No more decisions after this.
EV (Expected Value) — The average profit/loss of a decision over many repetitions. +EV = profitable long-term.
Effective Stacks — The smaller stack between you and your opponent — the max either can win.
Gutshot — A straight draw needing one specific card in the middle (4 outs). Also called an "inside straight draw."
Open-Ended Straight Draw (OESD) — A straight draw that can be completed by a card on either end (8 outs).
Nut (Hand) — The best possible hand given the board. "Nut flush" = the highest possible flush.