week you mentioned different proposition bets on a
crap table but didn't mention a "hop" bet.
I've heard it yelled out on a crap table before but
I'm not quite clear how to play it, or even where
it is located on the table.
Also, what are your thoughts about the "due factor"
as it relates to craps? By reading last week's column
I took away the fact that you are no fan of any proposition
bets, but what are your thoughts that if the 11 hasn't
appeared in let's say an hour, wouldn't a little side
action on it (the 11) be justified? Neal C.
hop bet, Neil, is a wager on any combination of the
dice on the next roll. For example, "Hard"
6 on the hop pays 30-1 (the actual odds, Neal, are
35-1) if matching 3's appear on the dice on the next
roll only. You may also bet "Easy" combinations,
such as a 4-2 or 5-1, which pays off at 15 to one,
with actual odds of 17 to one.
reason you can't ferret out a hop bet on most
craps tables is that hop wagers do not have a
designated space on the layout; instead, they
are usually placed in front of the boxman, often
with a "hop" marker placed on top of
As to the second part of your question, past die
rolls do not influence the probabilities of future
die rolls. The famous and costly Gambler's Fallacy,
Neil, is the belief that a craps player should
bet on 11 if an 11 has not appeared in the last
umpteen rolls. In actuality, each roll of the
dice is an independent event, with the probability
of rolling an 11 not changing from one in 18,
even if the 11 hasn't appeared in the last 24
hours. But ... show me one gambler who really
believes that, and I'll show eighteen who don't.
That's called the Casino Owners' Magic Carpet.