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The Doctrine Of Probabilities Applied To Gambling

Volume I

The Gaming Table by Andrew Steinmetz, Volume II

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The Doctrine Of Probabilities Applied To Gambling

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Casino Gambling in history

The possible combinations of cards in a hand as dealt out by
chance are truly wonderful. It has been established by
calculation that a player at Whist may hold above 635 thousand
millions of various hands! So that, continually varied, at 50
deals per evening, for 313 evenings, or 15,650 hands per annum,
he might be above 40 millions of years before he would have the
same hand again!

The chance is equal, in dealing cards, that every hand will have
seven trumps in two deals, or seven trumps between two partners,
and also four court cards in every deal. It is also certain on
an average of hands, that nothing can be more superstitious and
absurd than the prevailing notions about luck or ill-luck. Four
persons, constantly playing at Whist during a long voyage, were
frequently winners and losers to a large amount, but as
frequently at 'quits;' and at the end of the voyage, after the
last game, one of them was minus only one franc!

The chance of having a particular card out of 13 is 13/52, or 1
to 4, and the chance of holding any two cards is 1/4 of 1/4 or
1/16. The chances of a game are generally inversely as the
number got by each, or as the number to be got to complete each

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