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Last updated: July 17, 2013
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Six Card Poker
Rules
Six Card
Poker is a poker variant game played heads up against the dealer. The object of the
game is to win by having a better five-card poker hand than the dealer using six cards.
The game is played using one standard 52-card deck. The game uses standard poker rules
for scoring and comparing hands. To begin, the player makes an Ante Bet. The dealer
deals six cards face down to the player. The dealer deals to himself, three cards face
up and three cards face down. The player examines his cards and must either fold the
hand, losing his Ante, or raise by making an additional wager that is equal to his
Ante. Players may not share information about their cards with other players. The
dealer reveals his hole cards and compares his best five-card hand to the player’s best
five-card hand. The dealer must qualify with ace-king or higher. If the dealer does not
qualify, then the player’s Ante bet is a push. The raise bet is resolved as follows: If
the dealer's hand beats the player's hand, then the player loses his raise bet.
If the
player's hand beats the dealer's hand, then the player is paid 1 to 1 on his raise
bet.
In the event of a tie, the player’s raise bet is a push. If the dealer does
qualify: If the dealer's hand beats the player’s hand, then the player loses his Ante
and raise bets.
If the player's hand beats the dealer’s hand, then the player is paid 1
to 1 on his Ante and raise bets.
In the event of a tie, the player’s Ante and raise
bets push. There are also two optional side bets, the Aces Up and Two-Way Bad Beat,
which are explained below.
Analysis
Ante Bet Analysis Outcome Dealer Qualifies Net Win
Combinations Probability Return Player Wins yes 2 1,040,023,036,938,350 0.272693
0.545387 Player Wins no 1 755,514,209,224,548 0.198095 0.198095 Ties yes 0
210,847,746,240 0.000055 0.000000 Ties no 0 50,992,983,876 0.000013 0.000000 Fold - -1
1,149,186,512,820,950 0.301316 -0.301316 Dealer Wins no -1 2,937,744,249,924 0.000770
-0.000770 Dealer Wins yes -2 865,968,968,971,212 0.227056 -0.454113 Total
3,813,892,312,935,100 1.000000 -0.012717
Strategy
Fold if dealer has a higher ranked
hand using his three up cards alone. This rule supersedes all other rules. Fold with
ace-10 or lower. Raise with ace-king or higher. With ace-queen, fold if the dealer is
showing an ace or king. With ace-jack, fold if the dealer is showing an ace, king, or
queen.
Fold if dealer has a higher ranked hand using his three up cards alone. This
rule supersedes all other rules. Raise with ace-king. Fold otherwise.
With optimal
play, the house edge is 1.27%.
Using the intermediate basic strategy, the house edge is
1.48 %.
Using the simple basic strategy, the house edge is 1.63%.
Aces Up
The game was
analyzed through brute force, combinatorial analysis. The following table summarizes
the analysis results. The bottom left cell shows the house edge of 1.2717%. With an
average bet size of 1.6987, the element of risk is 0.7486%.Two basic playing strategies
are presented below.
Aces Up is a side bet based on the poker-value of the player's
hand only. The following table shows what each hand pays, the probability, and
contribution to the return. The lower right cell reflects a house edge of 3.30%.
Aces
Up Analysis Event Pays Combinations Probability Return Royal flush 500 188 0.000009
0.004617 Straight flush 100 1,656 0.000081 0.008134 Four of a kind 30 14,664 0.000720
0.021609 Full house 10 165,984 0.008153 0.081530 Flush 8 205,792 0.010108 0.080867
Straight 6 361,620 0.017763 0.106576 Three of a kind 4 732,160 0.035963 0.143853 Two
pair 2 2,532,816 0.124411 0.248821 Aces 1 751,332 0.036905 0.036905 Loser -1 15,592,308
0.765886 -0.765886 Total 20,358,520 1.000000 -0.032973
Two-Way Bad Beat
The "Two-Way
Bad Beat" pays if either you or the dealer has at least a pair of aces and loses. The
higher the losing hand, the more the bet pays. In other words, it pays based on the
worse hand between you and the dealer, as long as they don't tie.
The following table
shows all the odds. The zeros for the probability and return of a losing straight flush
are not a mistake. The probability of that is about 1 in 25 trillion. Such a situation
was the basis of the movie Honeymoon in Vegas, but I'm getting off topic. The lower
right cell of the table below shows a house edge of 10.84%.
Two-Way Bad Beat Analysis
Event Pays Probability Return Straight Flush 10000 0.000000 0.000000 Four of a Kind
5000 0.000001 0.006250 Full House 500 0.000099 0.049370 Flush 200 0.000307 0.061440
Straight 100 0.000972 0.097168 Three of a Kind 35 0.004056 0.141965 Two Pair 10
0.034513 0.345127 Pair of Aces 9 0.015036 0.135328 Loser -1 0.945016 -0.945016 Total
1.000000 -0.108367
Acknowledgments
Usually, I like to do my own math. However, in this
case ShuffleMaster, who is marketing the game, kindly provided the math report by
mathematician Cindy Liu, which the Ante bet analysis is based on. The Two Way Bad Beat
is based on the work of Elliot Frome. I did the analysis of Aces Up.
Written by:
Michael Shackleford
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“At my age, I suppose I should be knitting. But I would rather play poker with five or
six ‘experts’ than eat.”
— Alice Ivers Tubbs; aka Poker Alice
Perhaps the best-known
female poker player in the Old West, Alice Ivers Tubbs, better known as “Poker Alice,”
hailed from England. Born on February 17, 1851, in Devonshire, she was the daughter of
a conservative schoolmaster who moved the family to the United States when she was
still a small girl. First settling in Virginia, Alice attended an elite boarding school
for young women until the family moved again in her teenage years to the silver rush in
Leadville, Colorado.
While there, Alice met a mining engineer named Frank Duffield, and
the two married when she was 20. Gambling was a way of life in the many mining camps of
the Old West, and when Frank, an enthusiastic player, visited the many gambling halls
in Leadville, young Alice went along with him rather than stay home alone. At first,
the pretty young girl stood quietly behind her husband, simply watching the play.
However, after a quick study, it wasn’t long before she was sitting in on the games,
quickly demonstrating proficiency for poker and faro.
A few years after their marriage,
Alice’s husband, a mining engineer, was killed in an explosion, and she was left alone
with no means of support. With her education, she might have taught school; however,
even though the mining camp flourished with some 35,000 residents, it didn’t have a
school. The few remaining jobs available to women in a mining camp did not appeal to
Alice, and she soon decided to try to make a living with her gambling skills. Though
she preferred the game of poker, she also learned to deal and play Faro and was soon in
high demand, both as a player and a dealer. At this time, Alice was a petite 5’4″
beauty with blue eyes and lush brown hair. A “lady” in a gambling hall that wasn’t of
the “soiled dove” variety was rare in the Old West and adorned in the latest fashions,
she was a sight for the sore eyes of many a miner.
Traveling from one mining camp to
another, the talented young beauty soon acquired the nickname “Poker Alice.” In
addition to playing the game, she often worked as a dealer in cities all over Colorado,
including Alamosa, Central City, Georgetown, and Trinidad. As time passed, Alice began
to puff on large black cigars while still wearing fashionable frilly dresses; however,
she never gambled on Sundays because of her religious beliefs. She also carried a .38
revolver and wasn’t afraid to use it. As her reputation grew throughout the west, she
always found willing players and attracted men looking for a challenge. As such, she
was quickly welcomed in gambling halls because the crowd she drew was good for
business.
Alice soon left Colorado and went to Silver City, New Mexico, where she broke
the bank at the Gold Dust Gambling House, winning someR$6,000. Sometime later, she made
a trip to New York City, which she often did after a significant win, to replenish her
wardrobe of fashionable clothing.
Afterward, she returned to Creede, Colorado, where
she worked as a dealer in Bob Ford’s saloon – the same Bob Ford who had earlier killed
Jesse James.
Alice eventually made her way to Deadwood, South Dakota, around 1890.
While there, she met a man named Warren G. Tubbs, who worked as a housepainter in
Sturgis but sidelined as a dealer and gambler.
Though she routinely beat Tubbs at the
gaming tables, he was taken with her, and the two began seeing each other outside the
gambling halls. On one occasion, when a drunken miner threatened Tubbs with a knife,
Alice pulled out her .38 and put a bullet into the miner’s arm. Tubbs and Alice
eventually married, and the couple would have seven children. Tubbs, a painter by
trade, and Alice’s gambling profits supported the family. The couple eventually moved
out of Deadwood, where they homesteaded a ranch near Sturgis on the Moreau
River.
During this time, Alice significantly reduced the time spent in gaming houses as
she helped with the ranch and raised her children. But Alice was doomed to be luckier
at cards than at love. When Tubbs was diagnosed with tuberculosis, she was determined
to stay by his side and nurse him back to health. Tubbs lost the fight and died of
pneumonia in the winter of 1910. Alice then loaded him into a horse-drawn wagon to take
his body to Sturgis for burial. At least one legend says she had to pawn her wedding
ring to pay for the funeral and went to a gambling parlor to earn the money to get her
ring back.
Alice would later say that the time spent on the ranch was some of the
happiest days of her life and that during those years, she didn’t miss the saloons and
gambling halls but liked the peace and quiet of the ranch. However, after Tubbs’ death,
she was required to make a living again. She then hired George Huckert to care for the
homestead and moved to Sturgis to earn her way. Huckert was enamored with Alice and
proposed marriage to her several times. Finally, Alice married him, saying flippantly,
“I owed him so much in back wages; I figured it would be cheaper to marry him than pay
him off. So I did.” But the marriage would be short, as Alice was widowed again when
Huckert died in 1913.
Sometime later, during Prohibition, Alice opened a “Poker’s
Palace” saloon between Sturgis and Fort Meade, providing both gambling and liquor and
“women” who serviced the customers. While here, a drunken soldier began to cause havoc
in the saloon, destroying the furniture and causing a ruckus. Alice responded by
pulling her .38 and shooting the man. While in jail awaiting trial, she calmly smoked
cigars and read the Bible. She was acquitted on the grounds of self-defense, but her
saloon was shut down in the meantime.
Now, in her 70s and with her beauty and
fashionable gowns long gone, Alice struggled in her last years, continuing to gamble
but now dressing in men’s clothing. She occasionally was featured at events like the
Diamond Jubilee, in Omaha, Nebraska, as a true frontier character, where she was known
to have said, “At my age, I suppose I should be knitting. But I would rather play poker
with five or six ‘experts’ than eat.”
She continued to run a “house” of ill-repute in
Sturgis during her later years and was often arrested for drunkenness and keeping a
disorderly house. Though she paid her fines, she continued to operate the business
until she was finally arrested for repeated convictions of running a brothel and
sentenced to prison. However, the governor pardoned Alice, who was 75 years old
then.
At 79, she underwent a gallbladder operation in Rapid City but died of
complications on February 27, 1930. She was buried at St. Aloysius Cemetery in Sturgis,
South Dakota.
Alice claimed to have won more thanR$250,000 at the gaming tables in her
later years and never once cheated. In fact, one of her favorite sayings was: “Praise
the Lord and place your bets. I’ll take your money with no regrets.”
©Kathy
Alexander/Legends of America, updated March 2024.
Also See:
Women in American
History
Leadville, Colorado – Cloud City USA
Gambling in the Old West
Gambling &
Saloons Photo Gallery
South Dakota Main Page
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