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Poker hand
This article is about poker terminology relating to drawing cards or drawing
hands. For the variant of poker, see draw poker
A poker player is drawing if they have
a hand that is incomplete and needs further cards to become valuable. The hand itself
is called a draw or drawing hand. For example, in seven-card stud, if four of a
player's first five cards are all spades, but the hand is otherwise weak, they are
drawing to a flush. In contrast, a made hand already has value and does not necessarily
need to draw to win. A made starting hand with no help can lose to an inferior starting
hand with a favorable draw. If an opponent has a made hand that will beat the player's
draw, then the player is drawing dead; even if they make their desired hand, they will
lose. Not only draws benefit from additional cards; many made hands can be improved by
catching an out – and may have to in order to win.
Outs [ edit ]
An unseen card that
would improve a drawing hand to a likely winner is an out. Playing a drawing hand has a
positive expectation if the probability of catching an out is greater than the pot odds
offered by the pot.
The probability P 1 {\displaystyle P_{1}} of catching an out with
one card to come is:
P 1 = o u t s u n s e e n c a r d s {\displaystyle P_{1}={\frac
{\mathrm {outs} }{\mathrm {unseen} \,\,\mathrm {cards} }}}
The probability P 2
{\displaystyle P_{2}} of catching at least one out with two cards to come is:
P 2 = 1 −
n o n o u t s u n s e e n c a r d s × n o n o u t s − 1 u n s e e n c a r d s − 1
{\displaystyle P_{2}=1-{\frac {\mathrm {non} \,\mathrm {outs} }{\mathrm {unseen}
\,\,\mathrm {cards} }}\times {\frac {\mathrm {non} \,\mathrm {outs} -1}{\mathrm
{unseen} \,\,\mathrm {cards} -1}}}
n o n o u t s = u n s e e n c a r d s − o u t s
{\displaystyle \mathrm {non} \,\mathrm {outs} ={\mathrm {unseen} \,\,\mathrm {cards}
}-\mathrm {outs} }
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 10 22% 38% 3.6 1.6 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
[1]
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, any spades that complete Alice's 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.
Types of
draws [ edit ]
Flush draw [ edit ]
A flush draw, or four flush, is a hand with four
cards of the same suit that may improve to a flush. For example, K♣ 9♣ 8♣ 5♣ x. A flush
draw has nine outs (thirteen cards of the suit less the four already in the hand). If a
player has a flush draw in Hold'em, the probability to flush the hand in the end is
34.97 percent if there are two more cards to come, and 19.56 percent (9 live cards
divided by 46 unseen cards) if there is only one more card to come.
Outside straight
draw [ edit ]
An outside straight draw, also called up and down, double-ended straight
draw or open-ended straight draw, is a hand with four of the five needed cards in
sequence (and could be completed on either end) that may improve to a straight. For
example, x-9-8-7-6-x. An outside straight draw has eight outs (four cards to complete
the top of the straight and four cards to complete the bottom of the straight).
Straight draws including an ace are not outside straight draws, because the straight
can only be completed on one end (has four outs).
Inside straight draw [ edit ]
An
inside straight draw, or gutshot draw or belly buster draw, is a hand with four of the
five cards needed for a straight, but missing one in the middle. For example,
9-x-7-6-5. An inside straight draw has four outs (four cards to fill the missing
internal rank). Because straight draws including an ace only have four outs, they are
also considered inside straight draws. For example, A-K-Q-J-x or A-2-3-4-x. The
probability of catching an out for an inside straight draw is half that of catching an
out for an outside straight draw.
Double inside straight draw [ edit ]
A double inside
straight draw, or double gutshot draw or double belly buster draw can occur when either
of two ranks will make a straight, but both are "inside" draws. For example, in 11-card
games, 9-x-7-6-5-x-3, or 9-8-x-6-5-x-3-2, or in Texas Hold'em when holding 9-J hole
cards on a 7-10-K flop. The probability of catching an out for a double inside straight
draw is the same as for an outside straight draw.
Other draws [ edit ]
Sometimes a made
hand needs to draw to a better hand. For example, if a player has two pair or three of
a kind, but an opponent has a straight or flush, to win the player must draw an out to
improve to a full house (or four of a kind). There are a multitude of potential
situations where one hand needs to improve to beat another, but the expected value of
most drawing plays can be calculated by counting outs, computing the probability of
winning, and comparing the probability of winning to the pot odds.
Backdoor draw [ edit
]
A backdoor draw, or runner-runner draw, is a drawing hand that needs to catch two
outs to win. For example, a hand with three cards of the same suit has a backdoor flush
draw because it needs two more cards of the suit. The probability P r r {\displaystyle
P_{rr}} of catching two outs with two cards to come is:
P r r = o u t s u n s e e n c a
r d s × o u t s − 1 u n s e e n c a r d s − 1 {\displaystyle P_{rr}={\frac {\mathrm
{outs} }{\mathrm {unseen} \,\,\mathrm {cards} }}\times {\frac {\mathrm {outs}
-1}{\mathrm {unseen} \,\,\mathrm {cards} -1}}}
For example, if after the flop in Texas
hold 'em, a player has a backdoor flush draw (e.g., three spades), the probability of
catching two outs on the turn and river is (10 ÷ 47) × (9 ÷ 46) = 4.16 percent.
Completing backdoor draws is generally unlikely; the probability of seeing two out of
seven outs on the turn and river is roughly the same as completing a draw with only out
on either the turn or the river (1/47 + 1/46 = 4.3%). A backdoor outside straight draw
(such as J-10-9) is equally likely as a backdoor flush, but any other 3-card straight
draw (such as J-8-7) is less likely than getting a specific card after the flop,
calculated above.
Drawing dead [ edit ]
A player is said to be drawing dead when the
hand he hopes to complete will nonetheless lose to a player who already has a better
one. For example, drawing to a straight or flush when the opponent already has a full
house. In games with community cards, the term can also refer to a situation where no
possible additional community card draws results in a win for a player. (This may be
because another player has folded the cards that would complete his hand, his
opponent's hand is already stronger than any hand he can possibly draw to or that the
card that completes his hand also augments his opponent's.)
See also [ edit ]
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