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Pot odds and outs

Poker School · lesson 4 of 7 · 9 min

Whether a draw is worth chasing, worked out at the table in seconds.

Counting outs

An out is a card that makes your hand. Count them, and you can put a number on how often you get there.

DrawOuts
Flush draw (four to a suit)9 - the other nine of that suit
Open-ended straight draw8 - four of each rank on either end
Gutshot straight draw4 - only one rank fills it
Two overcards6 - three each to pair either one
Set looking to fill upAbout 7 on the turn

The rule of 2 and 4

Multiply your outs by 2 for the chance of hitting on the next card. Multiply by 4 for the chance across both the turn and the river, which only applies when you are already all in and will see both.

A flush draw on the flop: 9 outs. About 18 percent to hit on the turn, about 36 percent to get there by the river. Close enough to the real numbers (19 and 35) to make decisions with.

Outs to percentages, in full

The rule of 2 and 4 is close enough to decide with. These are the real numbers, for when you want to check your shortcut against them.

OutsBy the turn / by the river
12% / 4%
24% / 8%
37% / 13%
4 (gutshot)9% / 17%
511% / 20%
6 (two overcards)13% / 24%
715% / 28%
8 (open-ended)17% / 32%
9 (flush draw)19% / 35%
12 (flush + gutshot)26% / 45%
15 (flush + open-ended)33% / 54%

The right-hand column only applies when you are already all in and will definitely see both cards. If there is another bet coming on the turn, use the left-hand one.

How the common preflop matchups run

Worth knowing roughly, because these are the spots where the money goes in before the flop and people misremember them badly in both directions.

MatchupRoughly
Pair vs two lower cards80 / 20 - e.g. QQ against J-9
Pair vs one over, one under70 / 30 - e.g. 88 against A-5
Pair vs two overcards55 / 45 - the classic coin flip
Pair vs lower pair82 / 18 - and barely moves if suited
Two overcards vs two unders63 / 37 - e.g. A-K against 8-7
Dominated: A-K vs A-Q74 / 26 - the kicker is worth that much

Nothing preflop is a lock. The very best hand is a 4-to-1 favourite against the worst one, and "a coin flip" is not a figure of speech - a pair against two overcards really is close to even.

Comparing it to the price

Pot odds are what you have to pay against what you can win. If the pot holds $80 and someone bets $20, you are paying $20 into a pot that will be $120, so you need to win about 17 percent of the time to break even.

With a flush draw and one card to come you are around 19 percent. Nineteen beats seventeen, so calling is correct. Reverse the numbers and it is not.

Chasing a draw is not a personality flaw or a virtue. It is arithmetic: hit often enough to cover the price and it is a call, otherwise it is a fold.

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