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2. That of his taking in two certain cards, is 18 to 1 tagainst him.

3. What are the odds that an elder hand takes in four aces?

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That he takes in four aces, is to 1. . . . . . . 3 aces, about . . . 33 to 1. . . . . . . 2 aces, . . . . . 3 to 1. . . . . . . 1 ace, . . . . . 2 to 5.

4. If an elder hand has one ace dealt him, what are the odds that he takes in the other three ?

Agst. him. For him. That he takes in the 3 aces, . . . . . 113 to 1. - - - - - 2 aces, . . . . 6 to 1. 1 ace, . . . . 2 to 3.

5. If an elder hand has two aces dealt him, what are the odds that he takes in the other twof

Agst. him. For him. That he takes in the other to aces is . . 18 to 1.

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6. If an elder hand has two aces and two kings dealt him, what are the odds that he takes in two aces or two kings remaining? Agst. him. For him. It is about . . . . . . . 17 to 2. 7. If the elder hand has neither ace nor king dealt him, what is his chance to take in both an ace and a king in 2, 3, 4, or 5 cards? Agst him. For him. In 2 cards, it is about . . . . . . 11 to 1. In 3 cards, . . . . . . . . . . 4 to 1. In 4 cards, . . . . . . . . . . 9 to 5. In 5 cards, . . . . . . . . . . 33 to 51.

8. That a younger hand takes in two certain cards, is 62 to 1 against him.

9. That a younger hand takes in three certain cards, is 1139 to 1 against him.

10. The younger hand having no ace dealt him, the chance of his taking one is 28 to 29 for him.

11. If the younger hand has one ace dealt him, what are the odds of his taking in one or two of the three remaining aces?

Agst. him. For him. That he takes in two of them is about . . 21 to 1. At least one of them . . . . . . . 3 to 2.

12. The odds that the younger hand takes in one certain card is 17 to 1 against him.

13. The odds of a carte blanche are 1791 to 1 against him.

Computations for laying wagers.

1. That the elder hand wins the game is 5 to 4.

2. That the elder hand does not lurch the younger hand is about 2 to 1.

3. That the younger hand does not lurch the elder hand is near 4 to 1.

4. Suppose A and B make a party at piquet. A has.

the hand: what are the odds that A wins the party? About 23 to 20. 5. If A has one game, and B one game, he who is eldest hand has about 5 to 4 to win the party. 6. If A has two games love before they cut for the deal, the odds are about 4 to 1 that he wins the party. 7. If A has two games love, and has the hand, the odds are about 5 to 1 that he wins the party. 8. If B has the hand when A is two love, the odds in favour of A are about 37 1-2 to 1. 9. If A has two games, and B one, before they cut, the odds in favour of A are about 2 to 1. 10. If A has the hand, and two games to one, the odds are about 11 to 4. 11. If B has the hand when A is two games to one, the odds in favour of A are about 9 to 5. 12. If A is one game love, and elder hand, the odds in favour of A are about 17 to 7. 13. If A has one game love, and younger hand, the odds in favour of A are about 2 to 1.


This is a French game. It is usually played by only two persons, and is much admired for its simplicity and fairness; as it depends entirely upon chance, is soon decided, and does not require that attention which most other games on the cards do: it is, therefore, particularly calculated for those who love to sport upon an equal chance.

It is called Quinze from fifteen being the game; which must be made as follows: 1. The cards must be shuffled by the two players, and when they have cut for deal, which fails to the lot of him who cuts the lowest, the dealer has the liberty at this, as well as at all other games, to shuffle them again.

2. When this is done, the adversary cuts them; after which the dealer gives one card to his opponent, and one to himself

3. Should the dealer's adversary not approve of his card, he is entitled to have as many cards given to him, one after the other, as will make fifteen, or come nearest to that number; which are usually given from the top of the pack; for example: If he should have a deuce, and draws a five, which amount to seven, he must go . on, in expectation of coming nearer to fifteen. If he draws an eight, which will make just fifteen, he, as being eldest hand, is sure of winning the game. But if he overdraw himself, and make more than fifteen, he loses, unless the dealer should happen to do the same; which circumstance constitutes a draw game, and the stakes are consequently doubled. In this manner they persevere, until one of them has won the game, by standing and being nearest to fifteen.

4. At the end of each game, the cards are packed and shuffled, and the players again cut for deal.

5. The advantage is invariably on the side of the elder hand.


. The Game of Vingt-un, or twenty-one, resembles the game of Quinze. It may be played by two or more persons, and as the deal is advantageous, and often continues for a considerable time with the same person, it is customary to determine it at the commencement by the first ace turned up, or in any other mode that may be agreed upon. The cards are all dealt out in succession, unless a natural wingt-un occurs; and in the meantime the pone, or youngest hand, should collect those that have been played, and shuffle them together, in order that they may bc ready for the dealer against the period when he shall have distributed the whole pack. In the first place the dealer is to give two cards, by one at a time, to each player, including himself. He is then to ask every person in rotation, beginning with the eldest hand on the left, whether he stands or wishes to have another card; which, if required, must be given from off the top of the pack, and afterward another, or more if desired, till the points of the additional card or cards, added to those dealt, exceed or make twenty-one exactly, or such a number less than twenty-one as may be judged proper to stand upon. But when the points exceed twenty-one, then the cards of that individual player are to be thrown up directly, and the stake paid to the dealer, who also is in turn entitled to draw additional cards, and on taking a vingt-un is to receive double stakes from all who stand the game, excepting such other players as may chance to have twenty-one; between whom it is thereby a drawn anne. g When any adversary has a vingt-un, and the dealer has not, in that case, the opponent so having twenty-one wins double stakes from him. In the other cases, excepting where a natural vingt-un happens, the dealer pays single stakes to all whose num

bers under twenty-one are higher than his own, and receives from those who have lower numbers. But nothing is paid or received by those who happen to have similar numbers with the dealer; and when the dealer draws more than twenty-one, he is to pay to all who have not thrown up their cards. Whenever twenty-one is dealt in the first instance, it is styled a natural vingt-un, and should be declared immediately. It entitles the possessor to deal, and also to double stakes from all players, unless there shall be more than one matural vingt-un. In this case the younger hand or hands so having the same, are excused from paying to the eldest: who takes the deal of course. An ace may be reckoned either as eleven, or as one. The court cards are counted as ten, and the rest of the pack according to their points. The odds of this game depend merely upon the average quantity of cards likely to come under, or to exceed twenty-one. For example: if those in hand make fourteen exactly, it is seven to six that the one next drawn does not make the number of points above twenty-one: but if the points be fifteen, it is seven to six against that hand. Yet it would not therefore, in all cases, be prudent to stand at fifteen; for as the ace may be calculated both ways, it is rather above an even wager that the adversary's two first cards amount to more than fourteen. A natural vingt-un may be expected once in seven coups when two, and twice in seven times, when sour persons play; and so on in proportion to the number of players.

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