Poker Expected Value Starting Hands

  1. Poker Starting Hands Ranking
  2. Poker Expected Value Starting Hands Free
  3. Poker Hand Values Chart
  4. Poker Expected Value Starting Hands Printable
  5. Best Starting Poker Hands
A pair of aces is the best pre-flop hand in Texas Hold'em Poker

In the poker game of 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.

  • 2Limit hand rankings

Starting Hands Chart – No Limit Holdem v1.1 Early Middle CO BU SB BB AA, KK RAISE QQ Raise / Raise JJ Raise / Call 15 Raise / Call 15/S TT Call / Call 15 Raise / Call 15 Raise / Call 15/S 99 Call / Call 15 Raise 0 / Call 15 Check / Call 15 88-22 Call / Call 15 Raise 0 / Call 15 Check / Call 15 Aks Raise / Raise Raise / Raise AQs Raise / Fold Raise / Call Raise / Call S.

Texas Holdem Expected Value Hand Charts – 9 Players. Below is a table of Texas Holdem starting hands, ordered by their Expected Value (EV) in a 9 player holdem game. These statistics were produced by using millions of hand histories to compute the following results. The below chart is very interesting because you can see. Poker preflop hand value ranking is based on starting hands groups and poker hand rankings. Poker starting hands combinations from the same group can be played in pretty much the same way. As you will become more experienced poker player you will be thinking rather in terms of EV (expected value based on preflop odds) of each preflop poker.

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 relative value in this poker variant, many of these hands are identical in value before the flop. For example, AJ and AJ 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 sum total of : 13 pocket pairs, 13 × 12 / 2 = 78 suited hands and 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':

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  • Pairs, (or 'pocket pairs'), which consist of two cards of the same rank (e.g. 99). One hand in 17 will be a pair, each occurring with individual probability 1/221 (P(pair) = 3/51 = 1/17).

An alternative means of making this calculation

First Step As confirmed above.

There are 2652 possible combination of opening hand.

Second Step

There are 6 different combos of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s

Ranking

To calculate the odds of being dealt a pair

2652 (possible opening hands) divided by 12 (the number of any particular pair being dealt. As above)

2652/12 = 221


  • Suited hands, which contain two cards of the same suit (e.g. A6). Four hands out of 17 will be suited, and each suited configuration occurs with probability 2/663 (P(suited) = 12/51 = 4/17).
  • Offsuit hands, which contain two cards of a different suit and rank (e.g. KJ). Twelve out of 17 hands will be nonpair, offsuit hands, each of which occurs with probability 2/221 (P(offsuit non-pair) = 3*(13-1)/51 = 12/17).

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,

QQ 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.

There are 25 starting hands with a probability of winning at a 10-handed table of greater than 1/7.[1]

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[2] assigned in 1999 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.[3]

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]

Poker Starting Hands Ranking

Phil Hellmuth's 'Play Poker Like the Pros' book published in 2003.

TierHandsCategory
1AA, KK, AKs, QQ, AKTop 12 Hands
2JJ, TT, 99
388, 77, AQs, AQ
466, 55, 44, 33, 22, AJs, ATs, A9s, A8sMajority Play Hands
5A7s, A6s, A5s, A4s, A3s, A2s, KQs, KQ
6QJs, JTs, T9s, 98s, 87s, 76s, 65sSuited Connectors

Poker Expected Value Starting Hands Free

Statistics based on real online play[edit]

Statistics based on real play with their associated actual value in real bets.[4]

TierHandsExpected Value
1AA, KK, QQ, JJ, AKs2.32 - 0.78
2AQs, TT, AK, AJs, KQs, 990.59 - 0.38
3ATs, AQ, KJs, 88, KTs, QJs0.32 - 0.20
4A9s, AJ, QTs, KQ, 77, JTs0.19 - 0.15
5A8s, K9s, AT, A5s, A7s0.10 - 0.08
6KJ, 66, T9s, A4s, Q9s0.08 - 0.05
7J9s, QJ, A6s, 55, A3s, K8s, KT0.04 - 0.01
898s, T8s, K7s, A2s0.00
987s, 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.'[5][6] 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.

Notes[edit]

  1. ^No-Limit Texas Hold'em by Angel Largay
  2. ^David Sklansky and Mason Malmuth (1999). Hold 'em Poker for Advanced Players. Two Plus Two Publications. ISBN1-880685-22-1
  3. ^Hold'em Excellence: From Beginner to Winner by Lou Krieger, Chapter 5, pages 39 - 43, Second Edition
  4. ^http://www.pokerroom.com/poker/poker-school/ev-stats/total-stats-by-card/
  5. ^Aspden, Peter (2007-05-19). 'FT Weekend Magazine - Non-fiction: Stakes and chips Las Vegas and the internet have helped poker become the biggest game in town'. Financial Times. Retrieved 2010-01-10.
  6. ^Martain, Tim (2007-07-15). 'A little luck helps out'. Sunday Tasmanian. Retrieved 2010-01-10.
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Poker Hand Values Chart

Poker starting hand chart

Introduction

The following menu is for tables that list the expected value for every initial hand in blackjack. The values in the table are 'composition dependent', meaning at every point the best decision was made according to the exact cards held in the players hand, as opposed to just the total points.

Dealer Peeks at Hole Card

All numbers in the following tables assume the dealer already peeked for blackjack, with a ten or ace up, and did not have it.

No Hole Card — Player Loses Everything if Dealer Gets a Blackjack

All numbers in the following tables assume no dealer hole card. If the dealer gets a blackjack, the player will lose everything bet, including on doubles and spltis.

Poker Expected Value Starting Hands Printable

Other sources for similar expected values:

  • Blackjack Attack by Don Schlesinger
  • Professional Blackjack by Stanford Wong.

Best Starting Poker Hands

Written by: Michael Shackleford