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Pot Odds, MDF & Implied Odds

Lesson 2 · Foundations of profitable defense · 27 practice questions

What are pot odds?

Pot odds compare what a call costs with what it can win. When villain bets, the pot you are fighting for is the pot before his bet, plus his bet, plus your call. Your call has to win often enough to pay for itself, so the break-even equity is call / (pot + bet + call). Against a pot-sized bet that is 33%; against a half-pot bet 25%; against a one-third-pot bet 20%. The same price is often written as a ratio: calling 2 to win 8 is 4:1, and 4:1 means you need to win one time in five — 20%.

Equity is the other half of the comparison. With a draw, count your outs — the unseen cards that complete your hand — and convert them: about 2% per out for the next card, about 4% per out for two cards when all the money goes in now. Call when your equity beats the price; fold when it does not.

Example. On T♦6♠3♠ you hold A♠K♠ in the big blind and the button bets 2 into 6. You call 2 to win 8: 2/(6+2+2) = 20%. The nut flush draw has 9 outs, about 19% on the turn alone and about 35% by the river, and the two overcards add more. Continue. Now take 7♥6♥ on A♠9♦5♣ facing a pot-sized bet of 6 into 6: you need 6/(6+6+6) = 33%, and a gutshot has 4 outs — about 8% on the turn, 17% by the river. Fold.

Common mistake: forgetting villain's bet when you count the pot. 'Call 6 to win 6' looks like 50%; the real pot is 6 + 6 + 6 = 18 and the price is 33%.

Minimum Defense Frequency (MDF)

Pot odds tell you whether one hand can call. Minimum defense frequency answers a different question: how much of your whole range has to continue so that villain cannot profit by betting any two cards. A pure bluff that bets into the pot risks the bet to win the pot, so it profits whenever you fold more than bet/(pot + bet) of the time. You stop that by continuing with at least MDF = pot / (pot + bet) of your range. Against a pot-sized bet MDF is 50%, against a half-pot bet 67%, against a one-third bet 75%. Smaller bets demand more defense, because they risk less.

MDF is a range rule, not a hand rule. It does not say every hand calls half the time; it says your strongest hands, your best draws and enough of your bluff-catchers together must add up to that share, and the bottom of your range folds.

Example. In the big blind on A♠K♦6♣ you hold 6♥5♥ and the button bets 5 into 6. MDF is 6/(6+5) = 55%, and the price for a call is 5/(6+5+5) = 31%. Your range here holds every ace you defended preflop, the kings, the two pairs and the gutshots — well over 55% of it continues without bottom pair. 6♥5♥ loses to every ace and every king, so it belongs to the part that folds.

Common mistake: using MDF on a single hand ('MDF is 55%, so I call'). The question for one hand is always its equity against the bet; MDF only tells you how wide the whole calling range must be.

Implied & reverse implied odds

Pot odds count only the chips in the middle now. Implied odds add the chips you expect to win later when your draw comes in; reverse implied odds subtract the chips you lose later when you improve and are still beaten. Both depend on stack depth: with 100bb behind there is a lot left to win or lose after the flop; with 25bb most of it is already in the pot or goes in on the next bet. Implied odds are worth most for draws to the nuts that are hard to see coming, deep, against players who pay off. Reverse implied odds hurt most for weak draws and dominated pairs — a low flush, bottom pair on a high board.

Example. On A♠9♦5♣ you hold 7♥6♥ and face a pot-sized bet, 6 into 6, with 100bb stacks. The gutshot hits on the turn 4 times in 47, about 8.5%. Calling 6 to win 12 needs 33%, so implied odds have to cover the gap: on the turn card alone you would need to win about 52 more chips each time you hit — almost three times the pot after your call. Villain does not pay that often enough, so fold. Compare A♣Q♣ on K♣9♣4♦ facing 2 into 6: you already have the price (20%) and your flush is the nuts, so every chip you win later is a bonus — call or raise. With 6♥5♥ on Q♥8♥3♣ facing 5 into 6 the draw still calls with two cards to come, but a bigger heart beats you when it hits, so keep the pot small.

Common mistake: calling any draw 'for implied odds'. Implied odds need a stack behind, a hand that wins the big pot, and an opponent who will pay — check all three before you lean on them.

Key takeaways

• Facing a bet with a draw → price = call/(pot + bet + call); outs × 2 for one card, × 4 for two; continue when your equity beats the price.
• Flush draw, OESD or combo draw facing a small flop bet → call; nut draws and combo draws can raise.
• Bare gutshot facing a pot-sized bet → fold; 4 outs are about 8% a card and implied odds rarely cover a 33% price.
• Bottom or second pair on a high board facing a big bet → fold; it is the part of your range MDF lets you give up.
• Set on a wet board facing a c-bet → raise; charge the draws now.

Sample drill from this lesson

FAQ

Key terms in this lesson

Pot Odds · MDF (Minimum Defense Frequency) · Implied Odds · Equity · Outs · Gutshot vs OESD (Straight Draws) · Range (Poker Hand Range) · Board Texture (Wet vs Dry) · Continuation Bet (C-bet) · Bluff Catcher

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