Outs are unseen cards that improve your hand
An out is an unseen card that would complete the hand you are drawing to. After seeing your two hole cards and the three-card flop, 47 cards remain unseen. After the turn, 46 remain unseen.
You have seen four of the deck’s 13 hearts, so nine hearts remain. This is the usual nine-out flush draw.
Count each physical card only once. A card that completes both a straight and a flush is still one out. Some apparent outs may be dirty: they improve your hand but can also leave an opponent ahead. For example, on a paired board, a completed flush can still lose to a full house. Account for that risk before treating every completion card as a clean winning out.
For one card, divide outs by unseen cards
From the flop to the next card, divide the number of outs by 47. From the turn to the river, divide by 46. To see both the turn and river from the flop, subtract the probability of missing on both cards from 1. The cards are drawn without replacement.
Multiply outs by 2% for one card, or by 4% when you will see both remaining cards from the flop. These are quick estimates, not exact probabilities. The error grows when you have many outs; use the exact table or calculator when comparing close values.
Common Texas Hold’em draws
| Draw | Outs | Next card | By the river |
|---|---|---|---|
| Flush draw | 9 | 19.1% | 35.0% |
| Open-ended straight draw | 8 | 17.0% | 31.5% |
| Two overcards | Up to 6 | 12.8% | 24.1% |
| Gutshot straight draw | 4 | 8.5% | 16.5% |
Two overcards can provide up to six cards that make a pair, but making that pair may not beat two pair or three of a kind. The six-out figures assume all six cards are usable outs. This table describes draw completion, not your chance of beating an opponent’s hand.
Compare the call cost with the pot after calling
Suppose the pot is 120 chips before your opponent bets 60. The current pot is then 180. If you call 60, the pot after your call is 240.
60 ÷ (120 + 60 + 60) = 25%
If there is no further betting and you are eligible for the entire pot, you need 25% equity to break even on this call. Equity is your expected share of the pot. Without ties it can equal the probability of winning; with ties, include your share of split pots as well.
Try the free outs and pot odds calculator
The default example uses nine clean outs, a current pot of 180 chips and a call of 60. A flush draw has a 35.0% chance of completing when you see both cards from the flop, compared with 19.1% on the next card alone. The relevant figure depends on how many cards you can see without paying again.
Outs must be a whole number from 0 to 47. Account for cards that complete your draw but may still leave you behind.
Example: pot of 120 + opponent’s bet of 60 = current pot of 180. Your pending call of 60 is not included yet.
This tool calculates a specific draw’s completion probability and the cost of a call separately. It does not calculate your actual equity against an opponent’s cards or recommend calling. Side pots, further bets, fees and tournament payout considerations are not included.
Formulas and assumptions
One card: outs ÷ unseen cards. Two cards from the flop: 1 − (misses ÷ 47) × ((misses − 1) ÷ 46). The flop calculation uses 47 unseen cards after your two hole cards and the three-card board; the turn calculation uses 46. No opponent’s exact cards or other additional known cards are assumed.
The two-card formula measures hitting at least one of the fixed outs you count now. It does not include new backdoor combinations, changes to your clean outs or an opponent improving again after you hit. Draw completion is different from winning the hand.
A nine-out flush draw against a 25% call threshold
On the flop, nine outs give 9 ÷ 47 ≈ 19.1% for the next card. Seeing both the turn and river gives 1 − (38 ÷ 47) × (37 ÷ 46) ≈ 35.0%. Facing another bet on the turn differs from calling an all-in that lets you see both cards without another payment.
The 180-chip pot and 60-chip call require 25% equity under the assumptions above. Do not automatically call by treating 35.0% flush completion as 35.0% equity. You might win without completing the flush, or complete it and still lose to a full house. Consider the board and the range of hands your opponent can hold.
With unequal all-ins, different players may be eligible for different pots. The all-ins and side pots guide (Korean) explains that separate situation.
Draw probability is not the same as winning equity
This is a draw and call-cost practice tool, not an equity calculator against an opponent’s cards or range. Completing a selected draw does not guarantee the best hand or the pot.
- Cards that give an opponent a higher flush or straight may not be clean winning outs.
- Implied odds consider chips you might win later. Reverse implied odds consider extra chips you might lose even after improving.
- In a multiway pot, more opponents may have a hand that beats your completed draw.
- The chance of winning immediately because opponents fold is not included in simple draw probability.
- Side pots, future bets, fees and tournament payout considerations are outside this calculator’s model.
Practice on Pocket Holdem uses free Texas Hold’em practice chips. Chips cannot be bought or exchanged for cash. The calculator does not read a live table, reveal hidden cards or recommend a bet.
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