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Poker Pot Odds, Outs and Probability: Poker Math Made Simple

Updated 30 October 2026 · 7 min read

Poker is a game of incomplete information, but the maths is simple enough to do in your head. Count your outs, compare them with the price of the call, and you will make better decisions than most players at the table.

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What are outs?

Outs are the unseen cards that will improve your hand to a likely winner. If you have four hearts and need one more to make a flush, there are nine hearts left in the deck (13 minus the four you can see): you have 9 outs.

Draw	Outs	Chance on the next card	Chance by the river (from the flop)
Flush draw	9	19.6%	35%
Open-ended straight draw	8	17%	31.5%
Gutshot straight draw	4	8.7%	16.5%
Two overcards	6	13%	24%
Pair to trips or two pair (one pair)	5	10.9%	20%
Set to full house or quads (on flop)	7	15%	33%

The rule of 4 and 2

A quick way to turn outs into a percentage: on the flop, multiply your outs by 4 to estimate your chance to hit by the river; on the turn, multiply by 2 to estimate your chance on the river. For 9 outs on the flop that is about 36%, close to the true 35%. For big draws with 12 or more outs, subtract a few points.

Pot odds

Pot odds compare the price you pay to call with the size of the pot you can win. The formula: call amount ÷ (pot after your call).

Example: the pot is 100 and your opponent bets 50. The pot is now 150 and you must call 50 to win 200 in total. Your price is 50 ÷ 200 = 25%. If your chance of winning is higher than 25% (more than 1 in 4), the call makes money over time. A flush draw with 9 outs has 35% by the river, so calling is profitable.

Implied odds add the extra money you expect to win on later streets when you hit your hand; reverse implied odds are the extra money you lose when you hit but still lose.

Equity and poker hand odds

Equity is your share of the pot based on how often your hand wins at showdown. Some well-known matchups before the flop:

Matchup	Approximate equity
AA vs KK	82% vs 18%
Pair vs two lower overcards (e.g. QQ vs AK)	56% vs 44%
Pair vs one overcard and one undercard (e.g. TT vs A5)	70% vs 30%
AK vs QJ	64% vs 36%
Suited vs offsuit (same cards)	Suited gains about 3 to 4%

You will also see your hand strength percentage in POKR BUDDY at the table, which gives a fast guide to how your cards compare with the opponents' range.

Starting hand probability

Chance of being dealt any pocket pair: 5.9% (about 1 in 17).
Chance of being dealt AA: 0.45% (1 in 221).
Chance of being dealt AK (suited or offsuit): 1.2% (1 in 82).
Chance of flopping a set with a pocket pair: 11.8% (about 1 in 8.5).
Chance of flopping a flush draw with two suited cards: about 11%.

Poker odds calculators and trainers

A poker odds calculator or equity calculator is a free tool that shows your win percentage in a hand. A poker odds trainer builds the habit of working out outs fast. Learn more in poker tools and calculators.

Frequently asked questions

How do you calculate pot odds in poker?

Divide the amount you must call by the total pot after you call. Compare that percentage with your chance of making your hand.

What is the rule of 4 and 2?

Multiply your outs by 4 on the flop, or 2 on the turn, to estimate your chance of hitting by the river.

What is equity in poker?

Equity is the share of the pot you can expect to win based on your chance to win the hand at showdown.

How many outs does a flush draw have?

A flush draw has 9 outs, because 13 cards of one suit minus the 4 you can see leaves 9.