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1. How Much Is Joker Worth In Blackjack
2. What Is A Joker Worth In Blackjack
3. How Much Is A Joker Worth In Blackjack
4. How Much Is A Joker Worth In Blackjack

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Pontoon, formerly called Vingt-Un, is a card game of the banking family for three to ten players and the 'British domestic version of Twenty-One,' a game first recorded in 17th-century Spain, but which spread to France, Germany and Britain in the late 18th century, and America during the early 19th century. It is not, as popularly supposed, a variant of Blackjack nor is Pontoon derived from Blackjack, but both are descended from the early British version of Vingt-Un. In Britain, it first became known as Pontoon during the First World War, the name apparently being a soldier's corruption of its former French name. The games has no official rules and varies widely from place to place.^[1] It is a popular family game, but also widely played by children, students and in the armed forces.^[2] In 1981, Pontoon was the 3rd most popular card game in Britain after Rummy and Whist.^[3] It has been described as 'an amusing round game and one which anyone can learn in a few minutes.'^[4]

History[edit]

Vingt-Un is first recorded in the second half of the 18th century in France, Britain and Prussia, but its first rules were published in 1800 in Britain,^[5] and elaborations of this simple game were developed over the course of the 19th century. The name 'Pontoon' appeared during the First World War and appears to be a soldier's corruption of Vingt-Un. It is recorded as such in 1917 by an American soldier who served with the British during the First World War, where he describes Pontoon as one of the pastimes played by 'Tommy' when off duty and equates it to the American 'Black Jack or Twenty-One', adding that 'the banker is the only winner.'^[6] Another name that was probably also a mispronunciation was Van John.^[7]

It took time for the new name to be established; in 1939 it was still referred to as Vingt-et-Un with the name Pontoon being given as an alternative.^[8] The game's popularity continued unabated such that, by 1981, it had become the 3rd most popular card game in Britain after Rummy and Whist,^[3] a phenomenon possibly helped by the prominence of its casino game forms known as Blackjack or Twenty-One. Unlike the latter, however, it has no official rules and consequently its manner of play varies widely from place to place.^[1] It is very much an informal family game, but is also popular with children, students, workers and members of the armed forces.^[9]

Rules[edit]

The following rules give a brief illustration of the development of Pontoon from its progenitor Vingt-Un as it was played around 1800, to the more elaborated rules developed during the 19th century and finally to Pontoon as it is typically played today.^[10][4][11]

Cards[edit]

The game is played with a standard, 52-card, French-suited pack, without Jokers. The values of the cards are as follows: an Ace scores 1 or 11 as desired; court cards score 10 each and the pip cards score their face value. If the two cards dealt to a player (excluding any subsequently drawn) are an Ace and a court card or an Ace and a Ten, they score 21 exactly and the combination is called a natural or a natural vingt-un.^[10][4][11]

The game may be played by two or more players, six or eight being best according to 'Trumps' and five or six according to Arnold, who sets an upper limit of ten players. Phillips and Westall suggest the use of a second pack if more than seven play. 'Trumps' merely states that two or more packs may be combined 'if the party is large'.^[10][4][11]

Vingt-Un (1800)[edit]

The following is a summary of the earliest known rules for Vingt-Un, published in the 1800 edition of Hoyle's Games.^[12]

The first dealer is chosen by any agreed method, e.g. the first player to turn up an Ace becomes the dealer. It is likely that deal and play were clockwise and that players staked a fixed amount before the deal, but the rules are vague on these points.

The dealer deals two cards to each player, one at a time. He then asks each player, in rotation and beginning with eldest hand (to his left), whether he wants to 'stand' or choose another card. In the latter case, the dealer gives him the top card from the pack. The player may continue to ask for more cards until he reaches or exceeds a score of 21 or decides to stand. If he exceeds 21, he immediately throws his cards up and pays his stake to the dealer.

The dealer may also draw additional cards and, on taking Vingt-un, receives double stakes from all who stand, except those who also have 21, with whom it is a drawn game. When any opponent has 21, but the dealer does not, the dealer pays double stakes. If no-one has 21, the dealer pays a single stake to those whose score is higher than his and receives a single stake from those whose score is lower. Any player with the same score as the dealer neither pays nor receives a stake. If the dealer exceeds 21, he pays all who have not 'thrown up' their cards.

The first player in rotational order who declares a Natural Vingt-Un takes over as the next dealer and earns a double stake from all players except those who also have one, who need not pay anything. The new dealer reshuffles the pack and deals afresh. Otherwise, the cards must be dealt out in succession, the pone (youngest hand) collecting the cards that have been played and shuffling them until the pack is exhausted, whereupon the same dealer re-deals.

Vingt-Un (1850)[edit]

By 1850, the rules had been elaborated as follows:^[13]

The deal rotates clockwise every time a natural vingt-un occurs. The custom that the player holding the natural vingt-un takes over the deal is an 'old mode of play' that many still adhered to. If the natural vingt-un occurs in the first round, the dealer is allowed a misericorde (reprieve) and retains the deal.

After the dealer has dealt the first card each, face down, each player places a stake on it; it may be as low as a single counter.^[a] At this point, the dealer looks at his card and may announce 'double', which doubles all the stakes. He then distributes the second card to each player and, lastly, to himself.

The dealer now looks at his cards and, if he has a natural vingt-un he declares it and collects double stakes. Otherwise he proceeds as before, inviting players to stand or call for more cards, one by one. A player exceeding 21 is said to be 'overdrawn'. When the dealer has gone around everyone else, he turns his own cards face up and may stand or add to his hand as well. Those scoring the same or less, pay him their stake; those scoring more receive the same amount as their stake from the dealer and those who have a vingt-un receive double. If by drawing, the dealer scores exactly 21, he receives double stakes, excepting any ties and those who have already thrown up. If he exceeds 21, he pays all who stand, paying any vingt-uns double.^[b]

If a player has a natural vingt-un but the dealer does not, he does not, as in the 1800 rules, receive a double stake from each player, but only settles with the dealer.

Pairs and Triplets. If a player or the dealer turns up a pair, e.g. two Kings, he may 'go on both' and play them as separate hands. Likewise if the 3rd card is of the same rank, three hands may be played.

Brulet. After the cards have been cut, the dealer may look for the brulet i.e. a natural vingt-un formed by the top and bottom cards of the pack. These cards are thrown out and mixed with those collected by the poney. Brulet clears the board of stakes (one or two counters levied on each player at the start of the game) or takes the amount of the limit (e.g. 6d) from each player, as agreed.^[c]

Pontoon (1939)[edit]

The following rules for Vingt-et-Un (Pontoon) are based on Phillips and Westall (1939).^[4]

The player who draws the highest card becomes the first dealer and is known as the Banker. The game is played for stakes: money, counters or matches.

After the first card is dealt, players look at their cards before placing a stake of their choosing up to an agreed limit. Again, the dealer may double the stakes after looking at his card. Any player who has a Natural on receiving his second card, declares it immediately, exposes his cards and, unless the dealer also has a Natural, is paid treble and takes the Bank for the next deal. If more than one player has a Natural, the one nearest the dealer's left takes it.

Player are now asked whether they wish to 'buy' or 'twist' any more cards. Players may buy cards by giving as many counters for them as they like (e.g. 'buy one for two'), up to their original stake; the card is then passed to them face down. Players may ask for a twisted card ('twist me one'), which is passed face upwards. A player cannot buy a card once he has had one twisted. Once satisfied with their cards, players announce 'stand'. A player exceeding 21 must declare that he is 'busted'.

Players who are busted, pay their stake to the dealer. If the dealer has a Natural, he receives single stakes from any player who has a Natural, double stakes from any player who has 21 or 'five and under' and treble stakes from the others. If the dealer has 12 or 'five and under', he receives a single stake from any player who has the same, and double stakes from the rest. Otherwise the dealer pays double to anyone with 21 or 'five and under' and single stakes to any player whose total is better than his own. He receives single stakes from anyone who scores less than him. A player with the same score also has to pay.

Pairs may be played as two separate hands by announcing 'split', but the brulet is not known. The Bank does not pass on a split Natural.

Pontoon (2011)[edit]

The rules of modern Pontoon vary widely. Those below are based on a description by Arnold of the standard rules. All is as in the 1939 rules except as follows.^[11]

The first player to draw a Jack becomes the dealer or banker. Players place stakes of any value between the agreed lower and upper limits after looking at their first card. The banker may not look at his cards or double the stakes. Any player who holds a pontoon (Ace and 10-point card) on being dealt his second card declares it immediately and places it on the table.

As before, the banker then asks each player in turn what they wish to do: stand or 'stick', buy or twist. A player may not stand on a score of lower than 16. A player may buy up to 5 cards, which beats everything except a pontoon. A player may not buy a fifth card unless he already has 12 points. He may, however, twist. Players do not pay for twisted cards, but may not buy after having twisted. Players who have busted, lose their stake and pass their cards to the banker who places them face down under the pack. Players do not show their cards during this process. Players may only split if they have two (or more) Aces.

Once the banker has gone around all the players, he exposes his two cards. If he has a pontoon, he claims all remaining stakes, even from players with a pontoon themselves. Otherwise he may stand or deal himself more cards. He may not split. If he has a five-card hand, he beats all other hands except a pontoon. The banker wins all ties. If he busts, he pays all those still in the game. A player with a pontoon is paid double, unless it is part of a split hand. The banker is not paid double for a pontoon.

Once a player beats the banker with a pontoon, he takes over the deal if he wishes. If two or more players have a pontoon, positional priority applies.

Related games[edit]

• Blackjack or Black Jack is the American descendant of British Vingt-Un.
• Vingt-Un or Vingt-et-Un is the French ancestor of the group.
• Siebzehn und Vier is the German variant.
• Trente et Un or Trente-Un is an older game played to 31 points.
• Onze et Demi is a French game played to 11½ points.
• Sette e Mezzo is a similar Italian game played with 40 cards.
• Quinze is an old French game played to 15 points.

Footnotes[edit]

1. ^It is not entirely clear whether the players may look at their first card and place a stake of their choosing up to a certain limit, or whether they all place a fixed stake on the face down card.
2. ^Note that ties do not 'stand off' as in the 1800 rules, unless the player has a vingt-un.
3. ^This appears to conflict with the earlier rule that stakes are laid after the first card has been dealt, but would suggest that stakes were fixed.

References[edit]

1. ^ ^abParlett 2008, p. 592-594. sfn error: no target: CITEREFParlett2008 (help)
2. ^Parlett 1990, p. 5. sfn error: no target: CITEREFParlett1990 (help)
3. ^ ^abWaddingtons 1981. sfn error: no target: CITEREFWaddingtons1981 (help)
4. ^ ^abcdePhillips & Westall 1939, pp. 193-197. sfn error: no target: CITEREFPhillipsWestall1939 (help)
5. ^Jones 1800. sfn error: no target: CITEREFJones1800 (help)
6. ^Empey 1917, pp. 148 and 304. sfn error: no target: CITEREFEmpey1917 (help)
7. ^Arnold 2011, p. 270/271. sfn error: no target: CITEREFArnold2011 (help)
8. ^Phillips & Westall, pp. 193197. sfn error: no target: CITEREFPhillipsWestall (help)
9. ^Parlett 1990, pp. 78/79. sfn error: no target: CITEREFParlett1990 (help)
10. ^ ^abc'Trumps' 1870, pp. 12-18. sfn error: no target: CITEREF'Trumps'1870 (help)
11. ^ ^abcdArnold 2011, pp. 270-274. sfn error: no target: CITEREFArnold2011 (help)
12. ^Jones 1800, pp. 229-231. sfn error: no target: CITEREFJones1800 (help)
13. ^Bohn 1850, pp. 317-321. sfn error: no target: CITEREFBohn1850 (help)

Literature[edit]

• Arnold, Peter (2011). Chambers Card Games. London: Chambers Harrap.
• Bohn, Henry G. (1850). The Hand-Book of Games. London: Harrison.
• Grupp, Claus (1976). Glücksspiele mit Kugel, Würfel und Karten, Wiesbaden: Falken Verlag.
• Jones, Charles (1800). Hoyle’s Games Improved. New, considerably enlarged, rev. & corrected edn. London: Ritchie.
• Morehead, Albert H., Richard L. Frey and Geoffrey Mott-Smith (1991). The New Complete Hoyle Revised, New York.
• Morehead, Albert H. and Geoffrey Mott-Smith (1983). Hoyle’s Rules of Games 2nd revised edition. A Signet Book.
• Parlett, David (1992). The Oxford Dictionary of Card Games, Oxford.
• Parlett, David (1990). The Oxford Guide to Card Games, Oxford.
• Phillips, Hubert and Westall B.C. (1939). The Complete Book of Card Games. London: Witherby.
• 'Trumps' (1870). Cassino, Vingt-Un, Brag, and All-Fours. London: Milner and Sowerby.
• Waddingtons. (1981). National Playing Card Survey, Leeds: Waddingtons Playing Card Co. April 1981.

In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. Blackjack is played with 1 to 9 decks of 52 cards each. The values of the cards correspond to their numerical value from 2-10. All face cards (Jack, Queen, King) count 10 and the Ace either 1 or 11, as the holders desires. A score with an ace valued as 11 is named soft-hand. A soft-hand score of 17 is denoted as 7/17.

The color of the cards does not have any effect.

The goal of the game is to reach a score (=sum of the cards) as high as possible but not more than 21. A Blackjack (Ace and a card whose value is 10) beats all other combination of cards. If the final sum is higher than the sum of the dealer, the player gets a play-off of 1:1 of his initial stake. If the players combination is Blackjack, the play-off is 3:2 of the initial stake. If the sum of the dealer is higher, the player loses his bet. If the sum is equal, then nobody wins. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. If the dealer busts, the players wins independently of his final score.

Blackjack can be played from one to seven players against one dealer. The dealer shuffles the cards. Now all the players must place their bets. Then each player and the dealer receives one card. The cards all lie face up. Thereafter the player receive a second card. The player now can continue to buy further cards, one by one, until he believes that he is near enough to 21. If the player believes to have reached a score high enough he must signalize the dealer to stay, which means not to ask for any further card.

Doubling down

The player has some more possibility's other than buy and stay. If he reached a score of nine, ten or eleven with his first two cards, he can double his bet. However if he does so, he will be dealt only one more card.

Splitting

If the first two cards are of the same value, the player has the possibility to split his hand, which means that each of the cards are used to start with a separate bet. For each split hand, an additional bet equal to the first is required. There is one exception: If the player splits two Aces, he receives only one more card and in such a case a score of 21 is not considered as Blackjack.

Dealers turn

Once the last player has decided to stay with his score, the dealer starts to draw a second card. If his result is reaching a score of 17 or more, he will deal himself no further cards. If the dealer has a score of 16 or less, he must draw until he has reached 17 or more. If the dealer exceeds 21, he busts. This is the basic knowledge You have: The dealer can not split nor double; he must play according to strict rules: Dealer must stand on all 17. That's the players advantage! On the other side, if both the player and the dealer busts, these scores are not considered as equal and the player looses his stake. That's the dealers advantage!

How to compute the correct strategy

The analyst sees the shoe as black box which computes him a probability for drawing a card of a certain value. Say we have 6 decks of 52 cards, so the probability of drawing an Ace is 6*4/6*52 = 24/312 = 7.7%. The probability of drawing a second Ace without reshuffle is 23/311 = 7.4% and so on. As the game goes on without reshuffle, the probabilities to draw certain cards will raise or decline, depending on which cards have gone in the past. From our point of view the shoe behaves like a wheel of fortune with varying distances between the nails.

The first thing to do, is to calculate the probabilities of the dealers last hand. This computation is straight forward as the dealer has no way of doing any decision. So it is quit easy to find out the probabilities of his final score.

The next thing is to find out the probabilities of what would be if ... . If the players score is 16, what's the probability of achieving 17, 18, 19, 20, 21 or busting. Probabilities also have to be calculated for splitting and doubling.

Because the player knows the dealers first hand before deciding what to do, he can compare the probabilities of the dealers last hand against the probabilities of possible final scores for each intermediate score he has. With this comparison, winning expectations can be calculated, gaining information about the best playing strategy.

Knowing the best playing strategy and knowing the probabilities for each final score, the dealer and the player will reach, the total expectation can be calculated. The total expectation is the magic number playing Blackjack. If it is below zero the player has to place minimum bets as with this card distribution he will lose on the long term. If however the total expectation is above zero (unfortunately thats quite rare) the player has to place high bets.

Interpret the strategy tables

How Much Is Joker Worth In Blackjack

For each decision a player can do the best strategy can be computed. There are 20 possible conditions where the player has to take decisions. These are:

• Buy or stay if the score is 12, 13, 14, 15, 16, 7/17 or 8/18.
• Double or buy, if the sum of the first two cards is 9, 10 or 11.
• Split, buy or stay, if the first two cards have the same value.

All these decisions depend upon the dealers first card, making a total of 200. There are some fundamental rules, which never change and must always be obeyed:

What Is A Joker Worth In Blackjack

• Alway buy if the score is below 12.
• Always buy if the score is below or equal to 7/17. With a soft hand You can't bust, so there is no reason to stay if the score is 17 or less.
• Never buy if the score is 17 or higher.
• Never split 5-5. A score of 10 is a good point to start with, so use it.
• Never split X-X. A score of 20 is too good, to take any further risks.
• Never ever double a Blackjack.

How Much Is A Joker Worth In Blackjack

For other decisions consult the expectation and probability tables computed on the Blackjack strategy pages.

Stakes height

How Much Is A Joker Worth In Blackjack

The stake has to be placed before the player can see the dealers first card. So during that decision, very little information is available. The only information the player here, is the total expectation for the current card distribution in the shoe. If this is above zero, he shall place high bets.