implied-odds

Implied odds extend pot odds: in addition to the current pot, factor in the chips you can win from the opponent after hitting. They convert some draws that pot odds say "fold" into legitimate calls.

Detailed Explanation

Simplified formula:

Effective odds = (current pot + opponent's bet + call amount + expected extra wins after hitting) / call amount

Example: pot 100, opponent bets 50, you call 50. Pot odds = 25%. But you estimate that after hitting, you can win another 200 from the opponent (based on a strong range + IP + deep stacks).

Effective odds = (100 + 50 + 50 + 200) / 50 = 8:1 → equity needed ~11%

If your outs give 16% equity, pot odds say no (25% > 16%) but effective odds say yes (11% < 16%).

Implied odds increase when:

• Opponent has a deep stack (more to pay)
• Opponent's range is strong (strong ranges pay through to the river)
• Your draw is "hidden" (gutshot or backdoor — far less obvious than three to a flush)
• You're IP (extracting value is easier when you hit)

Implied odds decrease when:

• Stacks are shallow (not much extra to win)
• Opponent's range is wide (most of it folds when you hit)
• The draw is obvious (opponent slows down)
• You're OOP (lower equity realization)

In practice: estimate implied odds conservatively. The most common beginner mistake is fantasizing "3 buy-ins of implied odds."

Common Use Cases

• Gutshot calling: pot odds are usually insufficient — implied odds carry the call
• Small pair set-mining: 22-66 calling an open to flop a set and stack the opponent's overpair
• Suited connectors with deep IP stacks: the canonical implied-odds maximization spot
• Borderline fold-vs-call: when pot odds are on the edge, implied odds tip the balance