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A pair of aces is the best pre-flop hand in Texas Hold'em Poker
In Texas hold 'em, a
starting hand consists 🔑 of two hole cards, which belong solely to the player and remain
hidden from the other players. Five community cards 🔑 are also dealt into play. Betting
begins before any of the community cards are exposed, and continues throughout the
hand. 🔑 The player's "playing hand", which will be compared against that of each
competing player, is the best 5-card poker hand 🔑 available from his two hole cards and
the five community cards. Unless otherwise specified, here the term hand applies to 🔑 the
player's two hole cards, or starting hand.
Essentials [ edit ]
There are 1326 distinct
possible combinations of two hole cards 🔑 from a standard 52-card deck in hold 'em, but
since suits have no absolute value in this poker variant, many 🔑 of these hands are
identical in value before the flop. For example, A♥ J♥ and A♠ J♠ are identical in
🔑 value, because each is a hand consisting of an ace and a jack of the same
suit.
Therefore, there are 169 🔑 non-equivalent starting hands in hold 'em, which is the
total count of 13 pocket pairs, 13 × 12 x 1 🔑 / 2 = 78 suited hands and likewise 78
unsuited hands (13 + 78 + 78 = 169).
These 169 hands 🔑 are not equally likely. Hold 'em
hands are sometimes classified as having one of three "shapes":
Pairs, (or "pocket
pairs"), which 🔑 consist of two cards of the same rank (e.g. 9 ♠ 9 ♣ ). One hand in 17
will be 🔑 a pair, P(pair) = 1/17.
Alternative means of making this calculation
First Step
As confirmed above.
There are 1326 possible combination of opening 🔑 hand.
Second
Step
There are 6 different combos of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s.
Therefore, there are 78 possible 🔑 combinations of pocket pairs (6 multiplied by 13 i.e.
22-AA)
To calculate the odds of being dealt a pair
78 (the number 🔑 of any particular
pair being dealt. As above) divided by 1326 (possible opening hands)
78/1326 ≈ 0.0588
or 5.88%
Suited hands, which 🔑 contain two cards of the same suit (e.g. A ♣ 6 ♣
).
Probability of first card is 1.0 (any of 🔑 the 52 cards) Probability of second hand
suit matching the first: There are 13 cards per suit, and one is 🔑 in your hand leaving
12 remaining of the 51 cards remaining in the deck. 12/51 ≈ 0.2353 or 23.53%
Offsuit
hands, 🔑 which contain two cards of a different suit and rank (e.g. K ♠ J ♥ ). 70.59% of
all hands 🔑 are offsuit non-paired hands
Offsuit pairs = 78
Other offsuit hands = 936
It
is typical to abbreviate suited hands in hold 'em 🔑 by affixing an "s" to the hand, as
well as to abbreviate non-suited hands with an "o" (for offsuit). That 🔑 is,
represents any pair of queens, KQ represents any king and queen, AKo represents any ace
and king of different 🔑 suits, and JTs represents any jack and ten of the same
suit.
Limit hand rankings [ edit ]
Some notable theorists and 🔑 players have created
systems to rank the value of starting hands in limit Texas hold'em. These rankings do
not apply 🔑 to no limit play.
Sklansky hand groups [ edit ]
David Sklansky and Mason
Malmuth[1] assigned each hand to a group, and 🔑 proposed all hands in the group could
normally be played similarly. Stronger starting hands are identified by a lower number.
🔑 Hands without a number are the weakest starting hands. As a general rule, books on
Texas hold'em present hand strengths 🔑 starting with the assumption of a nine or ten
person table. The table below illustrates the concept:
Chen formula [ edit 🔑 ]
The "Chen
Formula" is a way to compute the "power ratings" of starting hands that was originally
developed by Bill 🔑 Chen.[2]
Highest Card Based on the highest card, assign points as
follows: Ace = 10 points, K = 8 points, Q 🔑 = 7 points, J = 6 points. 10 through 2, half
of face value (10 = 5 points, 9 = 🔑 4.5 points, etc.)
Pairs For pairs, multiply the
points by 2 (AA=20, KK=16, etc.), with a minimum of 5 points for 🔑 any pair. 55 is given
an extra point (i.e., 6).
Suited Add 2 points for suited cards.
Closeness Subtract 1
point for 🔑 1 gappers (AQ, J9) 2 points for 2 gappers (J8, AJ). 4 points for 3 gappers
(J7, 73). 5 points 🔑 for larger gappers, including A2 A3 A4
Add an extra point if
connected or 1-gap and your highest card is lower 🔑 than Q (since you then can make all
higher straights)
Phil Hellmuth's: Play Poker Like the Pros [ edit ]
Phil Hellmuth's
🔑 Play Poker Like the Pros book published in 2003.
Tier Hands Category 1 AA, KK, AKs, QQ,
AK Top 12 Hands 🔑 2 JJ, TT, 99 3 88, 77, AQs, AQ 4 66, 55, 44, 33, 22, AJs, ATs, A9s, A8s
Majority 🔑 Play Hands 5 A7s, A6s, A5s, A4s, A3s, A2s, KQs, KQ 6 QJs, JTs, T9s, 98s, 87s,
76s, 65s Suited 🔑 Connectors
Statistics based on real online play [ edit ]
Statistics
based on real play with their associated actual value in real 🔑 bets.[3]
Tier Hands
Expected Value 1 AA, KK, QQ, JJ, AKs 2.32 - 0.78 2 AQs, TT, AK, AJs, KQs, 99 🔑 0.59 -
0.38 3 ATs, AQ, KJs, 88, KTs, QJs 0.32 - 0.20 4 A9s, AJ, QTs, KQ, 77, JTs 🔑 0.19 - 0.15 5
A8s, K9s, AT, A5s, A7s 0.10 - 0.08 6 KJ, 66, T9s, A4s, Q9s 0.08 - 🔑 0.05 7 J9s, QJ, A6s,
55, A3s, K8s, KT 0.04 - 0.01 8 98s, T8s, K7s, A2s 0.00 9 87s, 🔑 QT, Q8s, 44, A9, J8s,
76s, JT (-) 0.02 - 0.03
Nicknames for starting hands [ edit ]
In poker communities, it
🔑 is common for hole cards to be given nicknames. While most combinations have a
nickname, stronger handed nicknames are generally 🔑 more recognized, the most notable
probably being the "Big Slick" - Ace and King of the same suit, although an 🔑 Ace-King of
any suit combination is less occasionally referred to as an Anna Kournikova, derived
from the initials AK and 🔑 because it "looks really good but rarely wins."[4][5] Hands
can be named according to their shapes (e.g., paired aces look 🔑 like "rockets", paired
jacks look like "fish hooks"); a historic event (e.g., A's and 8's - dead man's hand,
representing 🔑 the hand held by Wild Bill Hickok when he was fatally shot in the back by
Jack McCall in 1876); 🔑 many other reasons like animal names, alliteration and rhyming
are also used in nicknames.
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