Finding Your Edge
by Charles Carroll
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It might be good to
start at the beginning and talk about why we are mixed up in this "handicapping"
business, and why horse race betting works so well in the much wider world
of gambling. The answer is found in The Second Law of Gambling.
There are not many
"laws" in horse race handicapping, and handicappers who have been around
a while are fond of saying, "The only rule is — there are no rules." This
is certainly true when you get down to the handicapping process and start
trying to decide things like how to treat a 30-day layoff, or whether or
not to take the first pace/speed line, fastest pace/speed line, or any
of the other variables we face in each and every race. These types of decisions
are based on knowledge gained by hard-won experience. They are situational
in the context of each race, and there is no rulebook.
One of the first things
to get past is that "handicapping" is the goal. Making money is the goal
and the two are not the same. I'm not all that old, but in my middling
lifetime, I have seen the sport change from an era when "handicapping"
could, in fact, be the goal — because odds were shaped in favor of my style,
and short odds on some wins were offset by easy, decent odds on others.
So, for a very long time (like the early seventies through the early nineties),
I didn't have to look much beyond simple horse selection.
It wasn't until the
Beyers were first published and every nincompoop who could open a Form
had decent figures that drastically cut into my speed handicapping edge,
that I saw a big enough slump in my bottom line to ask what every selection-oriented
"handicapper" does sooner or later: "Damn! I'm a good handicapper — Where's
my profit?"
The answer was that
I was almost totally focused on handicapping and — even though, by then,
I really did know better — I was not moving quickly enough in realizing
that the game is horse race betting, not "picking winners." (This is group
therapy, so I'll be brutally honest: I was worse than that — one of my
biggest giggles was to select all three money horses in order and predict
the lengths apart at the finish — blissfully ignoring the fact that in
many situations, trifectas can be the worst underlays on the board. I'm
pleased to report I got well.)
Horse race betting is
the game, and making money is the goal — and this would be a fool's errand,
if it wasn't for one fact: if you play the game right, you can develop
a positive edge.
I promise not to do
many formulas (my fingers are only a little crossed), but the absolute
beauty of The Second Law of Gambling is that it is a pure mathematical
certainty. Not that you will win, but — depending upon how you play — you
can achieve a positive edge. Remember, we're talking about gambling here,
and that fact should be front page news.
If a casino suddenly
announced a rule change that turned the natural edge of the crapshooter
from negative to even a minuscule positive one, there would be bedlam at
their tables. If the horse racing industry ever figures out how to market
this fact . . . well, racing might take off, but don't hold your breath.
The third- or fourth-law
of pari-mutuel betting is that the crowd is fundamentally lazy — which
is great for your edge — but bad for making something that implies that
you might have to work for a living, even at gambling.
So here is the second
law, which makes horse race betting the most attractive form of gambling
there is (excuse the absence of really cute math symbols, which aren't
available in Web fonts):
E= Dr x Pw - R x
Pl
In plain English, this says that
your edge is equal to the amount of money you can potentially win, times
the probability of winning, minus the amount of money you place at risk,
times the probability of losing.
I won't test your patience
by plugging in numbers — you can if you want — but take my word on two
things: 1) it can be positive for horse race betting; and 2) the actual
edge for even strong players is probably a hell of a lot less than you
think.
We've all seen people
toss around hot numbers like "25% ROI," (now, there's a useless concept)
but at any rate, we have cultivated the myth that strong players have big
edges — of some sort or other. The fact is that even very strong players
are playing in the +/-3% edge range! (Edge, remember, not ROI.)
So why should this be
front page news? Because, with mathematical precision, you can plug in
the facts about other forms of gambling and prove the obvious: virtually
all other forms of gambling have a negative edge for any player — regardless
of skill, knowledge, or bankroll.
Craps proposition bets
range from minus 9% to minus 17%!
Roulette = minus 2.63
Craps pass line = minus 1.41
Blackjack basic strategy = minus
0.4
Blackjack card counting = positive
1.5
Horse race betting = positive 3+/-
Poker = positive % depending on
skill
Of all common forms
of gambling, only Blackjack card counting, poker, and horse race betting
can show an edge in favor of the gambler. But guess what? If you become
a Blackjack genius and actually show that tiny positive edge in Las Vegas,
two former linebackers from BYU will arrive at your table and escort you
politely to the street. In horse race betting, the parimutuel clerk could
care less! Not only that, you can actually monkey with the equation to
improve your edge! Try that at a table game in Las Vegas. [Note that horse
race betting and table poker are situational and exact edges cannot be
calculated, as they can with the strict rules and known possibilities of
the other games.]
Please take a look again
at the equation. To make "E" — your edge — bigger, all you have to do is
make the things on the left of the minus sign bigger — and/or make the
stuff on the right of the minus sign smaller.
What's on the left of
the minus sign? The amount of money possible to win — your odds. And, you're
probability of winning — your handicapping. What's on the right? The amount
of money at risk — your bet. And, your probability of losing (simply the
remainder after your probability of winning).
Probably the most overlooked
elements of the equation are on the right of the minus sign — avoiding
and minimizing losses (or at least making losses work for you by gaining
some insight that increases the left side for future bets).
Everything we do in
horse race betting is wrapped in that little equation. If it were not possible
to make "E" become positive, a more lucrative horse hobby might be trading
horse action figures on eBay. Since it can be made to come out positive,
in future columns we just have to worry about four little things improving
handicapping, improving odds, improving betting strategies, and decreasing
losses. This shouldn't take very long . . .
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