Poker Odds Calculator
Turn your number of outs into the odds of improving your hand by the river.
Formula and sources updated · Data sources · 1View algorithm, constants and default inputs (JSON)
About this calculator
Compare the chance of completing a draw with pot odds using a simplified model. This is not your probability of winning: it ignores opponent hands, dirty outs, ties, future betting, and other game-specific factors.
Worked example
calculated with the default values below
Number of outs 9 · Unseen cards 47 · Current pot 100 $ · Amount to call 20 $ · Betting street Flop (two cards to come) Chance on the next card 19.15 % · Chance by the river 34.97 % · Rule of four and two estimate 36 % · Pot odds 16.67 % · Draw-versus-pot comparison Pot odds exceed draw chance (simplified) · Odds against hitting 285 to 1
Method and assumptions
p1 = o ÷ n; p2 = 1 − (n−o) ÷ n × (n−o−1) ÷ (n−1); pot% = C ÷ (P + C) × 100 Turn probability = outs / unseen cards; flop-to-river chance uses two draws without replacement. Pot odds = call / (pot + call). Outs and unseen-card counts must be whole numbers with outs ≤ unseen cards. This compares draw completion only, not winning equity. Compare the chance of completing a draw with pot odds using a simplified model. This is not your probability of winning: it ignores opponent hands, dirty outs, ties, future betting, and other game-specific factors. The references explain definitions and methods; any extra preset must be checked against the assumptions on this page.
Data sources
The references explain definitions and methods; any extra preset must be checked against the assumptions on this page.
Disclaimer
These calculators give general estimates for information and entertainment. Platform algorithms, metrics and definitions change without notice, and none of these results are official figures from the platforms named.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
p1 = o ÷ n; p2 = 1 − (n−o) ÷ n × (n−o−1) ÷ (n−1); pot% = C ÷ (P + C) × 100
- p1
- Hit on next card
- o
- Outs
- n
- Unseen cards
- p2
- Hit by the river
- pot%
- Pot odds (%)
- C, P
- Call amount C and current pot P
Turn probability = outs / unseen cards; flop-to-river chance uses two draws without replacement. Pot odds = call / (pot + call). Outs and unseen-card counts must be whole numbers with outs ≤ unseen cards. This compares draw completion only, not winning equity.
Frequently asked questions
How do the flop and turn chances compare with pot odds?
With nine outs among 47 unseen cards, the model gives about 35% to hit by the river from the flop and about 19% on a one-card turn. Calling $20 into a $100 pot requires about 16.7% by its formula. Both displayed chances exceed that figure, so the tool labels both profitable under its simplified assumptions. Future betting and reverse implied odds are not modeled.
Which inputs and limits apply to Poker Odds Calculator?
Use the units shown beside each field. These are form limits, not recommended settings. Number of outs: 0–46; Unseen cards: 2–52; Current pot: 0–10,000,000 $; Amount to call: 0–1,000,000 $ p1 = o ÷ n; p2 = 1 − (n−o) ÷ n × (n−o−1) ÷ (n−1); pot% = C ÷ (P + C) × 100 Turn probability = outs / unseen cards; flop-to-river chance uses two draws without replacement. Pot odds = call / (pot + call). Outs and unseen-card counts must be whole numbers with outs ≤ unseen cards. This compares draw completion only, not winning equity. Compare the chance of completing a draw with pot odds using a simplified model. This is not your probability of winning: it ignores opponent hands, dirty outs, ties, future betting, and other game-specific factors. The references explain definitions and methods; any extra preset must be checked against the assumptions on this page.
What is a complete worked example for Number of outs = 9; Unseen cards = 47?
Inputs: Number of outs = 9; Unseen cards = 47; Current pot = 100 $; Amount to call = 20 $; Betting street = Flop (two cards to come). Calculation: p1 = o ÷ n; p2 = 1 − (n−o) ÷ n × (n−o−1) ÷ (n−1); pot% = C ÷ (P + C) × 100. Results: Chance on the next card = 19.15 %; Chance by the river = 34.97 %; Rule of four and two estimate = 36 %; Pot odds = 16.67 %; Draw-versus-pot comparison = Pot odds exceed draw chance (simplified); Odds against hitting = 285 to 1.