Drawing does not always mean trailing
Combo draw equity: when a draw is the favourite
A hand can have several ways to improve at once. Straight outs, flush outs and other winning runouts overlap, so adding them without checking the overlap gives the wrong answer. The engine evaluates the actual runouts against each live range combination.
How to approach the decision
- Identify the straight and flush possibilities without counting the same card twice.
- State the opponent’s range before estimating your equity.
- Compare your estimate with the computed result, then try related equity drills.
Your practice hand
Villain shoves 10 bb into a 10 bb pot on the flop.
Your hand
9♥8♥Board
T♥7♥2♣Facing
10 bb into 10 bbVillain range: custom · 66 of 82 combos live
AA,KK,QQ,AT,KT,QT,JTVillain has an overpair or top pair. No sets, no draws.
Practise this exact hand →Show the worked answer
Fifteen outs twice beats a single made pair outright. Folding here is the expensive kind of caution: against this range you are the favourite, not just priced in.
The working
- Range. The stated range is 82 combos. 16 of them use a card you can see (your hand or the board), which leaves 66.
- Equity. You win 54.6% and chop 0.0%, so equity is 54.6% + 0.0% ÷ 2 = 54.6%. Each hand class gets 20,000 sampled runouts with its own fixed seed, weighted by live combos. Sampling error is about ±0.12 points (one standard error).
- Price. Calling risks the bet to win the pot plus the bet, so break-even is bet ÷ (pot + 2 × bet) = 10 ÷ (10 + 2 × 10) = 33.3%.
- EV. equity × (pot + bet) − (1 − equity) × bet = 0.5461 × 20 − 0.4539 × 10 = +6.38 bb. Folding is 0, so that is the whole difference between the two options.