Place and buy
bets at craps are wagers on one or
more of the numbers four, five, six,
eight, nine, or 10. The bets win if
the dice show the indicated total;
they lose if a seven appears.
Chances of
winning, payoffs, and house
advantage differ among the choices.
Buying the four or 10 for $29 and
paying $1 "vigorish," a total outlay
of $30, for instance, should
generate results an average of nine
out of every 36 tosses. Of these,
three should yield profits of $58
and give the house 2.2 percent edge.
Placing the five or nine for $30
should produce decisions an average
of 10 out of 36 throws. These should
include four $42 winners, with an
edge of 4.0 percent. Betting $30 on
the six or eight, players can
anticipate action an average of 11
out of 36 throws. Here, they expect
to win $35 five times and face 1.4
percent edge.
Of course,
such figures aren't the sum and
substance of craps, or any casino
game. If they were, think what would
happen during a 360-throw session,
about four hours, in which a solid
citizen had a single bet on the
layout for every toss. Buying the
four or 10, this individual would
collect $58 x 30 = $1,740 and lose
$30 x 60 = $1,800, finishing $60 in
the hole. Someone making Place bets
on the five or nine in such a game
would pick up $42 x 40 = $1,680 and
drop the same $1,800, ending $120 to
the bad. And a person with $30 on
the six or eight would take in $35 x
50 = $1,750 while also sacrificing
$1,800, suffering a net zonk of $50.
In practice,
over what may seem a marathon
session but is really a
statistically short 360 throws,
bettors can succeed or fail to
degrees that diverge widely. This,
even under the hypothetical
condition that they persist
uniformly for 360 throws. The
effects can be pictured from the
results of a computer simulation of
10,000 360-throw sessions, in each
of which players put up $30 to bet
on either the four or 10, five or
nine, or six or eight.
Simulated
session averages were close to what
the math predicts for the long run.
The virtual bettors lost $59 on
fours and 10s, $121 on fives and
nines, and $51 on sixes and eights.
And the effective edges were 2.2
percent for fours and 10s, 4.1
percent for fives and nines, and 1.5
percent for sixes and eights.
The $30
outlays for Buys on the four or 10
have the intermediate edge for the
three options, the least action
during the session, and the longest
odds with the highest payoffs. Of
the 10,000 simulated bettors, 4,342
won and $5,613 lost while 45 broke
even. Further, 4,049 won more than
$30 and 5,347 lost over this amount
while 604 were within $30 either
way. The biggest win was $1,778 and
the worst upset was $1,560. The
median was a loss of $62, meaning
that as many players fared better as
did worse than this.
The 10,000 digital dice devotees on
the five and nine got more decisions
with somewhat better odds of
winning, but the payoffs were
smaller and the house advantage
larger. Totals of 3,583 won and
6,358 lost while 59 broke even.
Likewise, 3,263 won more than $30
and 6,021 took bigger hits than this
while 716 were within $30 either
way. The greatest profit was $1,206
and the deepest loss $1,488. The
median for these bets was a loss of
$126.
Place bets on
six or eight had the most action,
the best chance of winning, and the
least edge to overcome, but the
smallest payoffs. Overall, 4,406
winners contrasted with 5,525 losers
and 69 players who broke even. This
included 4,035 who earned more than
$30, 4,172 who lost over this much,
and 793 who finished up or down
within $30. Here, the median was a
$50 deficit.
Overall, edge
had a clear effect. More players
lost and fewer won on fives and
nines, with the steepest edge, than
on the others. Higher volatility,
manifest by less frequent but larger
wins on fours and 10s, is reflected
by greater maximum losses and wins
as well as fewer finishes within $30
either way. And getting more action
had a moderating effect because edge
applied more often. Still, in the
end, the approaches all had winners
and losers. That's what gambling's
all about. As the beloved bard,
Sumner A Ingmark, clearly
contemplated in composing this
telling triplet:
If every
conclusion were known in advance,
We'd only take actions we knew would
enhance,
But it would be boring with naught
left to chance.
