Variance: The
Zen of Betting
by Charles Carroll
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One
of the hardest concepts to get across in any kind of gambling—but especially
horserace betting is “variance.” Mathematically, it is a little more
complex than the gambler’s “edge” I talked about last week. But,
don’t worry, I am not even going to try to explain it—this is one of those
times it’s better to look at the phenomenon, rather than the math.
“Variance”
is behind the fact that you can walk up to a craps table and watch a shooter
make twelve straight sevens and not see one again for twenty minutes—even
though you know, mathematically, there are 36 ways the dice can tumble,
and six ways that sevens can be made, so they should appear one out of
every six times. You can be sure that over millions of rolls, that
is the ratio—but, in the short term, you can see twelve straight passes.
Variance is the reason amateurs can beat professionals in three-day poker—and
horse race handicapping—tournaments.
Still,
the idea of variance can be really tough to swallow in horserace betting.
One major reason is that we like to think that there is a “right”
answer when we handicap a race. How many times have you looked back
over a set of past performances, and thought, “Geez, if I’d taken that
third speed-line back on the 4-horse….”
Well,
maybe if you had, you would have won that bet—on the other hand, maybe
you did exactly the right thing—given everything you knew about that
race.
You
were right to lose? Sort of. You didn’t lose—you
made the right bet and it lost. There’s a difference.
Another reason variance is so tough to swallow is that there’s a big ego
element in handicapping. If I win a race, I was right.
If you lose the same race, you were wrong.
Did
you catch the little shift in there? Neither of us put on our Nikes
and sprinted down the track. We didn’t win or lose a race—we
won or lost a bet. Egos, and the faith that there is a right
“pick” in every race, tend to blind us to one of the keys to profit in
horseracing. The goal of horse race betting is to make money, and
the sub-goal is—not to win races—but to make good bets.
You
will know when you have “arrived” in horse race betting, when you can look
at a lost bet and automatically know if there was something you missed
in the handicapping—the selection of horses who figured to be in the money—or,
if there was something in the way that you structured your bet—both are
possibilities that you can learn from and handicap or bet more soundly
in the future—OR, if there was absolutely nothing wrong with
your decision—and nothing that needs to be changed.
Whatever
your approach to betting, whether it is flat-rate Win bets, or some wacky
approach to exotics, using an inverse-tetrahedral-Kelly-Criterion, you
know one thing with absolute certainty: you are going to lose
bets. The higher odds you play at, the lower your probability
of winning, although the amount you can win gets larger. (Remember
the little “edge” equation last time? That’s how that side works).
Horse race betting has vastly more variables than Blackjack, so it is far
more difficult to convince people that even with “perfect play,” you can
lose—frequently, and with absolute certainty. The trick is to
make the scores outweigh the losses.
Once
you have mastered your game, you need to develop the Zen of a Blackjack
player (boy, there’s a twisted metaphor—not the dorks at most tables—the
serious players). Perfect play in Blackjack can be achieved.
A master player knows the percentage on every turn of the card and what
the correct response is. He tries to program himself, like a computer,
to make the right move in response to “input.” If he makes an actual
mistake, he knows it and tries not to do it again next time, but—here
comes the Zen: he also knows that in pure terms, given the percentages
of the game and his “edge” he could make every correct move and theoretically
lose for months! Since horse racing has vastly more variables than
Blackjack, you would have to be a major bliss-ninny to take that big a
series of losses with a Buddha smile, believing you are making right bets—without
questioning something about your play.
So
how could I prove that this can happen: perfect horse racing bets—resulting
in a string of predictable losses?
I
cannot—it is impossible to prove directly—there are too many variables.
It is a very rare race indeed where you cannot look back with the wisdom
of retrospect, and say in your best Chris Lincoln voice, “Well, clearly
if I had taken the third speed line before the layoff….” But, my
point is that, given what you knew before the race, your betting
decision might have been exactly right. We have to learn to distinguish
between legitimate learning experiences, and the red herrings of retrospect.
These red herrings often turn up as “rules” and “spot plays.”
Tom
Ainslie said it years ago (in his masterpiece. “Complete Guide…”):
“A longshot wins a race. A disappointed bettor consults his Form
and discovers that the longshot had been timed in 36 seconds in a breezing
three-furlong workout a couple of days ago. No other horse in the
race had worked so rapidly so recently. Powie! A new system
is born!”
How
can I prove that a lost bet is not necessarily either a mistake or the
basis for a new system? Many years ago, I had a great science teacher
named Nello Allegrezza, who told me if I could not solve the problem, try
solving the opposite problem, and see what you can learn.
So,
what’s the flip side of “variance?” How about if somebody did everything
wrong
and won? That would be indisputable—no need
to go back and search through the fish pile of reasons—they just plain
WON.
I
suggest you seat your handicapping ego in a lotus position while I rest
my case with the following (from “Thoroughbred Quotes,” Thoroughbred
Times, February 26, 2000):
“I
don’t know anything about horse racing. I don’t know anything about
the odds. I don’t know anything about this. I picked up the
sheets with the horses’ names on it and I bet the names I liked.
There was also one jockey I bet with my name, ‘Sellers.’”
This
was Audrey Louie-Sellers telling Daily Racing Form how she
defeated more than 270 other participants to claim first prize and $56,855
in the Flamingo Reno Winter Challenge. Her brother
entered her in the tournament in return for babysitting his son during
the contest.
(Footnote:
If you understand variance, this is an absolute hoot and confirmation of
its power—but, unfortunately, the owners, trainers, and breeders who read
Thoroughbred
Times have never heard of it, so their long-standing image of us
handicappers as pathetic dweebs rocks on.)
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