Kansas City daily journal. [volume] (Kansas City, Mo.) 1892-1897, 1895-08-12
THE CHANCES IN CRAPS.


Here Are the Figures That show the Va
rious Odds in the Tabooed Game.
Craps. the game which in Louisville,
a year or so aso, attained to the proud
position of being the favorite pastime of
| society, is here known best being the
gamble in which newsboys and gentle
New New = York XIV world I5 Every py'e one 6as 6 seem
the enthusi iastc assemblases of street
arabs playing craps for pennies and
Though the stakes are small. the throw
! ing of the dice Is watched with as much
interest. by the crowd as though some
bold plunger, were making desperate
carlo" The game itself is a degenerate te
form of the older English game of haz-
ard.
In addition to this a peculiar intYest
| the only commonly played game, of chance
The l Banker W fRs HaGS asEsrton aE fSau VIII
eeiSyea with surprise by most crap players
| many. yet its truth can be readily proved.
A brief, statement of the. manner Of
| those unfamiliar with its mysteries. A
banker is chosen, by lot from among the
number. After bets have been made and
stakes posted the banker throws the dice.
or II on his first throw he, Wins, ali the
stakes; If ne throws 2, or Il, he loses all
or Il sRoHd turn up 9'oar on h fsa rs
throw the banker keeps on throwing until
fGST broWn rRi P 5hf The atfer a rs
the banker wins In the former he loses.
not only all bets. but also his position as
banker. So much for the rules of the
game.
TO calculate the odds in the game. and
punters have the advantage, it is first
necessary TO know the relative chances
twelve that 'o% can be'T be- turned G' up with i two
dice. This can be found as follows: Two
can be made in only one way-both dice
TO make three. either die may be an ace
ana the 3thSr aSr tW1 hmd IN inefet9re rhre 'hSre here
lowing out this method we ind that four
can be made in three ways: i've in four
eight in five ways; nine in four ways; ten
in three ways eleven in two ways and
The total number Of combinations is.
9GG thGrsfore rSsi bs cbsnSt which y
any given number turning mp in one throw
OF two dice Will be found by dividing the
number of ways in which it may occur
Now we know that II either 7 or II
The chance Of the bank winning consider
@ s$5 plus m 2ss S eqaas SIS While its si9cs ehaRee
of losing, on this, throw is only l-36 plus
ms 5s 6hy q & lie st & 5RroT he woa Sdf Of eoafs
be to in favor Of the bank. and it is
because S Start or nS pnysrs ns
that the bank always has percentage
But let US see what happens if some
other number than ?, B. :, Ii or - occurs
on the ilrst throw, For example, let the
duplicate this throw before I turns up
But the chance Of occurring is 6-S6
the odds against the bank are therefore
10 .. Had he thrown instead of g. the
odds would have been just the same
against him; II he had thrown either 8
or 8, the odds against the bank would
10 the odds would have been 8 TO 8
against him.
While. therefore, the advantage is with
the bank so far as the first throw Is con-
cerned, after that throw there is a large
percentage against IL. II remains to be
seen whether the banks advantage on the
first throw is enough 10 compensate for
the ODDS against II afterwards, and on
eNamlnation you viii lind that it is not
enough to do this
multiply the chance OF its occurring by
the chance of the bank winning in case
IL does occur The product will be the
chance of this comhnaton-that the
number occurs and the bank wins,
3 2-36No-O.
3-36N3-g-l-3s
> i-3Gx i-lO-l6-36O.
j-S6X5-ll-25-S96.
i-36X l--36.
5-3GS5-l -ll-25-S96.
4-36X4- 4-l0-l6-ttJ
10 S-96XS-9-l-S6.
n 2-36Xl-2-36.
u l-36N0-0,
The, bank totals change Of winning Is.
S$S equals is2-4s5' and the ODDS az ssans plef
the banker are therefore 1853 Ia 732 Or
approximately, thirty-one 10 thirty.