Implied Odds: The Extra-Money Calculation
How to adjust pot odds for money you expect to win on later streets — and how to compute, in exact big blinds, the future profit a drawing call needs before it breaks even.
Assumptions: All examples use a 6-max online cash game at 100bb effective stacks ($0.50/$1 where dollar amounts appear) with no rake unless a different setup is stated.
Pot odds compare your call to the money already in the middle. That comparison has one blind spot: the hand isn't over when you call. If your draw comes in on the turn or river, your opponent will often put more money into a pot you now win. That future money is real, it belongs in your math, and ignoring it makes you fold draws that print.
Implied odds are your pot odds adjusted for the money you expect to win on later streets when you hit. They turn some calls that look losing on the current price into clear winners — and, used honestly, they also expose calls that no realistic future payoff can rescue.
The key word is honestly. "I have implied odds" is the most abused sentence in poker. This lesson gives you the antidote: a calculation that converts the vague feeling of "he might pay me off" into one concrete number — the exact big blinds of future profit your call needs to break even. Either that number is realistic or it isn't, and you'll learn to tell the difference.
The core calculation
Start from what you already know. The direct price of a call is:
required equity = call ÷ (pot at decision + call)
where "pot at decision" means everything in the middle when it's your turn — the old pot plus the bet you're facing. If your chance of hitting clears that bar, you have a direct call and implied odds are a bonus. When it doesn't, implied odds answer the follow-up question: how much future money would make this call break even?
Here's the rearrangement. When you call and hit (probability p), you win the pot at decision plus some unknown future amount X. When you miss, you lose your call. Setting the expected value to zero and solving for X:
extra money needed (X) = call ÷ p − pot at decision − call
Read it as a recipe:
- Divide your call by your chance of hitting. That's the total money the pot must eventually deliver.
- Subtract what's already there (the pot at decision) and the call you're about to add.
- Whatever is left is the deficit — the big blinds your opponent must pay you later, on average, when your card arrives.
That deficit is the entire subject of implied odds. Small deficit against a full stack: easy call. Deficit bigger than the money behind: fold, no matter how pretty the draw looks.
One discipline before the examples: p is your chance of hitting with the card(s) your call actually buys. Calling a flop bet buys you the turn card only — your opponent can bet again, so you cannot assume you'll see the river for free. Use the one-card probability for flop calls unless the bet puts you (or him) all in. And count only clean outs — cards that win you the pot when they arrive, not cards that improve you to second-best. A six that gives you a pair of sixes against an overpair is not an out; it's a donation.
Example 1: a flush draw that needs no help
You defend the big blind with 6♦5♦, the flop comes K♦8♦2♠, and the cutoff bets 7bb into the 9bb pot after the small blind checks and you check. Pot at decision: 9 + 7 = 16bb. Required equity: 7 ÷ 23 = 30.4%.
Now your chances. You have nine diamonds for the flush. Across both remaining cards that's 35% (exactly 34.97%), and a Monte Carlo run of 6♦5♦ against a strong stack-off range of overpairs and top pair (JJ+, AQs+, AKo) on this board gives you about 38% — the extra coming from runner-runner straights. Either number clears 30.4%. This is a direct call: the money already in the pot pays for it.
Want to be strict about the one-card rule? Fine. Your flush hits the turn 9/47 = 19% of the time, short of 30.4% — so on pure one-card math you'd need extra future money: 7 ÷ 0.1915 − 23 ≈ 14bb. Fourteen big blinds, from an opponent who just bet most of the pot and has 90bb behind, when a third diamond can still be disguised by your check-call line? That arrives almost automatically — one modest turn or river bet covers it. Strict math and loose math agree: call.
Notice what just happened: even when the direct price technically falls short on one card, the deficit was tiny and the payoff obvious. Implied odds aren't an excuse here; they're a measured 14bb gap with a measured way to fill it.
Example 2: same stakes, far worse draw
Same seat, same preflop story, but now you hold 6♥5♥ on K♠8♣4♦ and the cutoff bets the full pot: 9bb into 9bb. Pot at decision: 18bb. Required equity: 9 ÷ 27 = 33.3%.
Your draw is a gutshot: exactly four sevens complete 4-5-6-7-8. One card to come: 4/47 = 8.5%. Run the deficit:
- Total money needed: 9 ÷ 0.0851 ≈ 105.7bb
- Already accounted for: 18bb pot + your 9bb call = 27bb
- Deficit: ≈ 79bb
Write that down and stare at it. To break even, the times you spike a seven, the cutoff must pay you — on average — 79 more big blinds. He started the flop with about 91bb behind. You're asking him to commit nearly his whole stack, on average, on boards where a four-card-straight-adjacent runout screams danger, with a hand that was often just continuation-betting. Sometimes he has a set and obliges; usually he has A♣Q♦ and bets once.
A simulation note for honesty: 6♥5♥ against the same strong range here shows about 21% raw equity — much more than 8.5%. Where does the difference come from? Two streets instead of one, plus "outs" like pairing your six or five, plus backdoor straights. Almost none of that is clean: a pair of sixes against an overpair doesn't win a big pot, it loses one. This is exactly why the deficit calculation uses clean one-card outs — the simulator counts every way you improve; your bankroll only counts the ways you improve and get paid.
Verdict: fold, and notice how different "needs 14bb" and "needs 79bb" feel once they're written as numbers instead of vibes.
Example 3: two outs on the turn
You called a hijack open on the button with 4♣4♦, peeled a $3.75 flop bet on Q♠9♥6♠ hoping to spike or get a cheap showdown, and the turn K♣ brings a $10 barrel into $14. Pot at decision: 24bb. Required equity: 10 ÷ 34 = 29.4%.
Against a hand that barrels king-queen-high boards twice, your pair of fours is reduced to set-mining on the river: exactly two outs. River chance: 2/46 = 4.3%. Deficit:
- Total money needed: 10 ÷ 0.0435 = 230bb
- Already accounted for: 24 + 10 = 34bb
- Deficit: ≈ 196bb
You would need to win roughly two full starting stacks in future bets every time a four hits — at a table where only 84bb remain behind. This call cannot be saved. Not by a read, not by "he always pays off," not by anything. When the deficit exceeds the effective stack, the conversation is over, and noticing that takes ten seconds of arithmetic.
This is the quiet power of the method: it doesn't just approve good calls, it slams the door on hopeless ones before you talk yourself into them.
Where future money actually comes from
The deficit tells you how much you need. Whether you can collect it depends on three things you can read at the table before you call.
Your draw's disguise. Future money is paid by an opponent who doesn't believe you got there. The flush draw in Example 1 is only moderately disguised — a third diamond is visible to both of you, and observant players slow down. A gutshot like Example 2's is beautifully hidden when it arrives (a seven looks like a blank), which is precisely why gutshots are worth chasing when the deficit is small. The cruel joke of Example 2 is that the disguise was perfect but the deficit was 79bb — disguise multiplies a payable deficit; it cannot rescue an impossible one.
Your opponent's hand strength. Implied odds are paid by second-best hands that refuse to fold. An overpair pays a flush; ace-high does not. When the bettor's range is full of strong one-pair hands — a tight player's continuation bet on K♦8♦2♠ — your made flush has a customer. When his range is mostly air that gives up on the turn, your "implied odds" are a coupon at a closed store. You'll quantify this opponent-by-opponent in a later lesson; for now, just notice that the same 14bb deficit is trivial against a player who can't release top pair and shaky against one who check-folds the moment the draw completes.
Who is driving the betting. If your opponent is the aggressor, he funds your draw himself — every barrel he fires when you hit goes into your pocket. If he's a passive checker, you have to bet your made hand and hope he calls, which collects less. Being the caller against an aggressive bettor is the single most reliable implied-odds setup in cash games.
What bet size does to the deficit
Run the deficit for a nine-out flush draw on the turn of a 10bb pot, one card to come (9/47 ≈ 19%), across the bet sizes you'll actually face:
| Bet into 10bb | Required equity | Deficit (extra bb needed) |
|---|---|---|
| 3.3bb (1/3 pot) | 20% | ~0.6bb |
| 5bb (1/2 pot) | 25% | ~6bb |
| 6.7bb (2/3 pot) | 29% | ~12bb |
| 10bb (pot) | 33% | ~22bb |
| 15bb (1.5x pot) | 38% | ~38bb |
Against a one-third-pot bet, your flush draw is essentially freerolling — the deficit is half a big blind. Each step up in sizing roughly doubles the hole you have to fill with future money. This is why strong players bet big on wet boards: they aren't just "charging the draw," they're setting your deficit somewhere your implied odds can't reach. And it's why a small bet on a draw-heavy board is an open invitation — read the deficit column, not just the percentage, and you'll see the invitation in big blinds.
The table also explains a pattern you'll meet constantly: the same draw flips between call and fold based purely on the price. Nothing about your nine outs changed between the first row and the last. What changed is how much of the future you're forced to pre-pay.
Make the deficit a habit, not a slogan
Every time a bet prices out your draw, run the same four lines:
- Price: required equity = call ÷ (pot at decision + call).
- Chance: clean outs ÷ cards remaining (47 on the flop, 46 on the turn) for the one card your call buys.
- Deficit: call ÷ chance − pot at decision − call.
- Reality check: can this opponent, with this stack, on this kind of runout, realistically pay that many big blinds when your card lands?
Step 4 is where the next lessons in this module live — which hands earn future money, how stacks and position raise or lower the ceiling, and which opponents actually pay. But the foundation is steps 1–3, and they produce a number, not a feeling. From today onward, you are not allowed to say "I had implied odds." You're allowed to say "I needed 14 more big blinds and his stack and tendencies made that easy" — or to fold.
Two calibration points to carry with you. A typical opponent who still likes his hand pays off something like one half-pot to one pot-size bet on a later street; against that baseline, deficits up to roughly the current pot size are usually fundable, deficits of several pots require a special customer, and deficits beyond the remaining stack are impossible by definition. And the deficit always shrinks when the bet you face is small relative to the pot — that's why the 7bb bet left a 14bb gap while the pot-size bet left 79bb. Bet size is your opponent setting the price of your draw; the deficit tells you whether the price is payable.