Poker Equity & OddsPoker math guides
Short guides on outs, pot odds, implied odds and preflop equity. Each number is counted in the Poker Equity & Odds engine over every possible card, and each page links to the matching lesson.
- 1 · outsOuts chart and the rule of 4 and 235.0%Nine outs on the flop, counted. The rule says 36%. Above 12 outs the rule drifts: 15 outs say 60%, the real chance is 54.1%.Read the chart
- 3 · the callShould you call with a draw?38.9%A flush draw against top pair, and a half-pot call needs 25.0%. The verdict for five draws at every bet size.See the verdicts
- 2 · preflopPocket pair vs two overcards48.0%AK against 22, counted over all 1,712,304 boards. Against QQ it drops to 43.9%. Every pair in between, on one page.Pair by pair
- flush drawsFlush draw odds by the river35.0%Nine outs, 19.1% on the turn, 35.0% by the river, 38.9% equity against top pair.Flush draw odds
- pot oddsPot odds cheat sheet25.0%What a half-pot bet needs. Every bet size from a quarter pot (16.7%) to double pot (40.0%).The cheat sheet
- 4 · implied oddsImplied odds and reverse implied odds20.3%A gutshot against top pair has 20.3% and a half-pot call needs 25.0%. How many more chips the call has to win later.Do the chip math
- 5 · referenceHeads-up preflop all-in equity chart81.9%AA against KK. AA against AK is 91.8%. Every pair against every pair, counted over every board.Open the chart
- 6 · rangesEquity against a range24.4%AQ against a tight shove of QQ+,AKs,AKo, weighted by combos. One hand against a named range, hand by hand.Hand against a range
- 7 · setsOdds of flopping a set11.8%A pocket pair makes a set or better on one flop in 8.5, every one of the 19,600 flops counted. Suited cards, flush and flush draw, too.Set and flush odds
- 8 · combosHow to count poker combos1,326Starting hands in Hold'em. A pair is 6 of them, a suited hand 4, an offsuit hand 12, and every card you see removes some.Count combos
- 9 · defenceMinimum defence frequency, simply66.7%How much of your range has to continue against a half-pot bet so a bluff can't print money. The beginner version, next to the pot odds table.MDF, simply
- 10 · dominationDominated hands: AK vs AQ73.6%AK against AQ, every board counted. The dominated hand keeps about a quarter of the pot whatever its kicker, and AQ does a little worse than A5.Kicker fights
- 11 · the flopOdds of flopping a pair32.4%Two unpaired cards pair at least once on the flop, one flop in 3.1. Two pair, trips and the miss, all 19,600 flops counted.Flop odds
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