Count the cards you will actually see

Flush draw pot odds: flop versus turn

A draw with two cards to come has a different price from the same draw with one card left. In this exercise the turn bet is all-in: calling buys exactly one river card, with no future betting to rescue a bad price.

How to approach the decision

  1. Find the final pot after your call: the original pot plus both matched bets.
  2. Divide the call amount by that final pot to find the required equity.
  3. Compare that price with equity against the stated overpair range. Outs alone do not identify every way a hand can win.

Your practice hand

Villain shoves 30 bb into a 30 bb pot on the turn.

Your hand
J♥T♥
Board
9♥5♥2♣3♦
Facing
30 bb into 30 bb
Villain range: custom · 18 of 18 combos live
QQ+

Villain has QQ, KK or AA, exactly as on the flop.

Practise this exact hand →
Show the worked answer

With one card to come the flush draw has roughly nine outs from 44 unseen cards, about a fifth of the equity it needs. The flop call was right and this one is badly wrong: the draw did not change, the number of cards left did.

The working

  1. Range. The stated range is 18 combos. None of them use a card you can see, so all 18 are live.
  2. Equity. You win 19.3% and chop 0.0%, so equity is 19.3% + 0.0% ÷ 2 = 19.3%. Each hand class gets 20,000 sampled runouts with its own fixed seed, weighted by live combos. Sampling error is about ±0.16 points (one standard error).
  3. Price. Calling risks the bet to win the pot plus the bet, so break-even is bet ÷ (pot + 2 × bet) = 30 ÷ (30 + 2 × 30) = 33.3%.
  4. EV. equity × (pot + bet) − (1 − equity) × bet = 0.1928 × 60 − 0.8073 × 30 = −12.65 bb. Folding is 0, so that is the whole difference between the two options.
Inspect every range combination →

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