Separates flush-draw completion probability, pot odds, one-card versus two-card pricing, and the uncertainty of implied odds.
Separates flush-draw completion probability, pot odds, one-card versus two-card pricing, and the uncertainty of implied odds.
A standard four-card flush draw on the flop has 9 outs. That gives about 19.15% to hit on the next card and about 34.97% to complete by the river, assuming all 9 outs are clean.
Poker educational material commonly frames pot odds as comparing the call price with the pot after calling and notes that implied odds depend on uncertain future betting: https://www.pokerstars.com/poker/learn/lesson/pot-odds/
| Event | Calculation | Probability |
|---|---|---|
| Hit on turn | 9 / 47 | 19.15% |
| Hit by river | 1 − (38/47 × 37/46) | 34.97% |
Suppose the pot is 100, an opponent bets 50, and calling costs 50. The pot before your call is 150. Your break-even equity is:
50 / (150 + 50) = 25%
If you are paying only to see the turn, 19.15% is below 25%, before implied odds. If the price truly covers seeing both turn and river with no further cost, 34.97% is above 25%. In real hands, the turn may require another call, so the two-card number is often not the right price to use.
Use the ToolsGambling pot odds calculator to compare call size and pot size: https://toolsgambling.com/poker/pot-odds
Limitations: completing a flush is not the same as winning the pot. Outs can be dirty, a higher flush can exist, the board can pair, rake can matter, and future winnings used for implied odds are uncertain rather than guaranteed.