Editing Draw (poker) (section)

==Outs==
An unseen card that would improve a drawing hand to a likely winner is an '''[[Out (poker)|out]]'''. Playing a drawing hand has a positive [[Expected value|expectation]] if the probability of catching an out is greater than the [[pot odds]] offered by the pot.

The probability <math>P_1</math> of [[Poker jargon#catch|catching]] an out with one card to come is:

:<math>P_1 = \frac{\mathrm{outs}}{\mathrm{unseen}\,\,\mathrm{cards}}</math>

The probability <math>P_2</math> of catching at least one out with two cards to come is:

:<math>P_2 = 1 - \frac{\mathrm{non}\,\mathrm{outs}}{\mathrm{unseen}\,\,\mathrm{cards}} \times \frac{\mathrm{non}\,\mathrm{outs} - 1}{\mathrm{unseen}\,\,\mathrm{cards} - 1}</math>

:<math>\mathrm{non}\,\mathrm{outs} = {\mathrm{unseen}\,\,\mathrm{cards}} -\mathrm{outs}</math>

{| class="wikitable"
! Outs !! One Card % !! Two Card % !! One Card Odds !! Two Card Odds !! Draw Type
|-
| 1 || 2% || 4% || 46 || 23 || Backdoor Straight or Flush (Requires two cards)
|-
| 2 || 4% || 8% || 22 || 12 || Pocket Pair to Set
|-
| 3 || 7% || 13% || 14 || 7 || One Overcard
|-
| 4 || 9% || 17% || 10 || 5 || Inside Straight / Two Pair to Full House
|-
| 5 || 11% || 20% || 8 || 4 || One Pair to Two Pair or Set
|-
| 6 || 13% || 24% || 6.7 || 3.2 || No Pair to Pair / Two Overcards
|-
| 7 || 15% || 28% || 5.6 || 2.6 || Set to Full House or Quads
|-
| 8 || 17% || 32% || 4.7 || 2.2 || Open Straight
|-
| 9 || 19% || 35% || 4.1 || 1.9 || [[#Flush draw|Flush]]
|-
| 10 || 22% || 38% || 3.6 || 1.6 || [[#Inside straight draw|Inside Straight & Two Overcards]]
|-
| 11 || 24% || 42% || 3.2 || 1.4 || Open Straight & One Overcard
|-
| 12 || 26% || 45% || 2.8 || 1.2 || Flush & Inside Straight / Flush & One Overcard
|-
| 13 || 28% || 48% || 2.5 || 1.1 ||
|-
| 14 || 30% || 51% || 2.3 || 0.95 ||
|-
| 15 || 33% || 54% || 2.1 || 0.85 || Flush & Open Straight / Flush & Two Overcards
|-
| 16 || 34% || 57% || 1.9 || 0.75 ||
|-
| 17 || 37% || 60% || 1.7 || 0.66 ||
|}<ref>{{Cite web|author=Odds Chart |url=http://www.wikihow.com/Play-Texas-Hold%27em |title=How to play texas holdem poker |access-date=22 February 2010 |work=Howtoplaytexasholdempoker.org |url-status=dead |archive-url=https://web.archive.org/web/20100113035825/http://www.wikihow.com/Play-Texas-Hold'em |archive-date=13 January 2010 }}</ref>

A '''dead out''' is a card that would normally be considered an out for a particular drawing hand, but should be excluded when calculating the probability of catching an out. Outs can be dead for two reasons:
* A dead out may work to improve an opponent's hand to a superior hand. For example, if Ted has a spade flush draw and Alice has an [[#Outside straight draw|outside straight draw]], any spades that complete Alice's [[Rank of hands (poker)#Straight|straight]] are dead outs because they would also give Ted a flush.
* A dead out may have already been seen. In some game variations such as [[stud poker]], some of the cards held by each player are seen by all players.