Hoyle's Games, Improved And Enlarged - online book

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PIQUET.
207
taking in three of them out of four certain cards, such as two kings and one ace, or two aces and a king, are 33 to 1 against you. But suppose you should want to take in any two out of four cer­tain cards, being elder-hand it appears by the calculation to be only 3 to 1 against you; though, if you only want one card out of the four, the odds are 5 to 2 in your favour that you take it in. Therefore, if you have four tens, or any inferior quatorze dealt you, and no ace, it is great odds in your favour, that, being elder-hand, you take in one ace, and ought to play your game accord­ingly : for you must always consider the disadvan­tage either of losing the cards or running the risk of a capot, by spoiling your hand with keeping four tens when they are not good.
4.  If you have one ace dealt you, it is 113 to 1 that you do not take in three others ; 49 to 8, or about 6 to 1, that you do not take in two out of three ; but that you take in one out of the three, is about 3 to 2 in your favour, or 137 to 91. As for example : You have a quart from a king, and two kings more dealt; as it is 3 to 2 that you take in either ace or nine to your quart, or the fourth king, and as you have the chance of reck­oning fourteen or fifteen points by this method of discarding, you ought to play accordingly.
But if you discard with an expectation of taking in two out of three certain cards, the odds against such an event being above 6 to 1, your game must indeed be very desperate, if you discard for that purpose. The chance of taking in three certain cards is very distant, being 113 to 1, yet it hap­pens sometimes.
5.  If you have two aces dealt, it is 18 to 1 that you do not take in the other "two, but only 21 to 17 that you do not take in one of them. Suppose
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