Poker Outs to Odds Calculator

An out is any unseen card that improves your hand to a winner. You count them by working out what beats your current hand and which cards you have left in the deck that get you there.

The rule of 2 and 4. A poker shorthand that gets you within a point or two of the real number, fast enough to use in real time:

• Multiply outs by 2 to get your chance of hitting on the next single card.
• Multiply outs by 4 to get your chance of hitting by the river (turn AND river still to come).

So 9 outs to a flush after the flop is roughly 36% to hit by the river. The actual number is 35.0%. Close enough.

The rule of 4 has one condition and everybody forgets it. It is only valid if you will actually see both cards without putting more money in, which at a real table means somebody is already all-in. Call a flop bet and your opponent will very often bet the turn as well, and then you have paid twice to see the two cards you priced as though they were free. Facing a flop bet in a hand that is still live, use the rule of 2. The gap is not small: 9 outs is 18% by the rule of 2 and 36% by the rule of 4, and plenty of losing players have talked themselves into a call with the larger of those two numbers.

The exact math. After the flop, 47 cards are unseen (52 minus your 2 hole cards minus the 3 flop cards). For one card:

• P(hit on turn) = outs / 47

For two cards:

• P(miss on turn) = (47 - outs) / 47
• P(miss on river given missed turn) = (46 - outs) / 46
• P(hit by river) = 1 - (P(miss turn) × P(miss river))

After the turn, only 46 cards are unseen for the river card.

Common out counts. Both columns are measured from the flop, so the first uses 47 unseen cards and the second runs the turn and the river together.

Waiting on the river with the turn already dealt, divide by 46 instead of 47, which nudges every figure in the first column up by about 2% of itself. A gutshot goes from 8.5% to 8.7%. Nobody has ever lost a pot over that difference, but it is why two poker books can quote the same draw slightly differently.

The trap with overcards. New players count overcards as 6 outs (3 for each card pair) and call any bet. The actual win rate when you hit one of your overcards is much lower because the opponent often has top pair or trips and you are still beat. Discount overcard outs by 30 to 50%.

The trap with a paired board. This one is not about the count, it is about what the out is worth. A paired board means a full house is live, so the flush you were drawing to may already be beaten by someone holding the pair card. Your nine outs are still nine cards; some of them just arrive too late to win. The same goes for a straight draw on a two-tone board, where the card that fills your straight can bring in somebody’s flush. Count the outs, then ask what a hand that calls your river bet actually looks like.

Pot odds versus odds of hitting. This calculator gives the chance of hitting. To decide whether the call is profitable, compare it against pot odds, meaning the price you pay versus the size of the pot. A 3-to-1 price needs 1 ÷ 4 = 25% equity, so any draw at 25% or better is a call.