14 November 2007
Handicapping Horses for Value
Anyways, I want to talk about value betting and horseracing today. The public is often a tough opponent, and even if you make a winning bet it may not be for an effective value that is worth your betting dollar.
The important thing to do here is to look at the form and come up with our own odds and lines for each horse in every race that we are going to bet on. We effectively give each horse a percentage chance of winning, ensuring that these always come to a total of one-hundred percent.
Only by doing this and having our own lines that we can compare to the final odds set by the public can we tell when we come across a value situation. For instance, say you have a horse that you have handicapped as a 7/2 favorite, and the final odds given after the public's betting are 3/1. In this case we have a situation where we can make a bet with a positive expectation (assuming we have effectively handicapped the horses). Even better is a situation where we can determine that a race is a two-horse affair. If we can make an exacta box of these two horses we can potentially see a payoff that is much higher than the odds given by the public, even if one of the horses in our exacta box has very low odds.
For those of you more familiar with poker, this is the exact same idea as a value bet on the river in limit hold em. In a typical value bet situation, you are betting a mediocre hand assuming that it is the best hand and will be called by a weaker hand. You are trying to get the maximum value for a positive expectation situation. In this case, you are simply betting on a horse base on what you think is a positive expectation rather than on a poker hand with a positive expectation.
Well, I'm about ready to get my PokerStars account to exactly $100 (enough to buy in for the max at the $5 tables) and start playing poker to build the bankroll up enough that I can start playing the ponies.
Until next time, happy gambling.
05 November 2007
Bankroll Management V - Playing the Ponies
The answer is pari-mutuel betting. You are not in fact betting against the track at all, but against all of the other bettors who have made the same bet as you. The track then takes a cut (similar to the rake in public room poker) and returns the rest to the winning players. For instance, in any given race, everyone making a trifecta bet will have their money pooled, and the amount remaining after the track's deduction will be paid to those with the winning trifecta tickets. This means that if you can handicap horses better than the next guy, you will win in the long run.
We'll discuss handicapping and betting in the future, however. The simplest method of bankroll management for horse racing is never to bet more than 1% of your total bankroll on any one race, and never to bet on any horse where you don't have a positive expectation. As long as you are making positive value bets, your bankroll will slowly grow and you'll be able to make larger bets while still risking only 1% of your total bankroll. While this is a very generalised approach similar to the 5% rule for poker, it is almost guaranteed never to fail. For this reason, this will be my approach for horse betting bankrolling.
Next time we'll talk a little bit about handicapping and the different types of bets available at the track.
Until then, happy gambling!
31 October 2007
Bankroll Management IV - My Bankroll Requirements
The screen from PokerOffice we'll be dealing with to calculate my bankroll requirements is the screen entitled "Level Performance Summary." I'll be looking at my last 11500 hands of $5 max NL Hold Em, and calculating my bankroll based on the numbers that I've posted. Below is a screenshot of this view from PokerOffice:

I've blocked out some of the other information about my playing at other limits, as it's not relevant for this posting. This is the data for my last 11,000+ hands. Now we will look at this data, and apply it to Malmuth's bankroll formula that we discussed a few days ago:
B = (1.64sigma)^2/4u
where:
u is the hourly win rate
sigma is the standard deviation per hour
B is your required bankroll
B = (1.64*2.07)^2/4*0.24 = 12.005
In other words, I would only need $12 to compete at this level according to Malmuth's formula. However, I would need at least $20 to buy in with the minimum $1 and have it be 5% or less than my bankroll. This means that, as long as I am following the 5% rule and occasionally check my bankroll against Malmuth's formula, my poker bankroll should be easy enough to manage allowing for a 5% risk of ruin. (I will actually cut my risk of ruin to zero by following the 5% rule, as long as I always move down when necessary.)
However, this formula may turn out to be more useful when I look at my horse betting strategy. Which brings me to the topic for next time--why it is possible to win in the long-term when betting on horses, and bankroll managment strategies specific for playing at the track.
Until then, happy gambling.
30 October 2007
Bankroll Management III - The 5% Method
OK, so I lied a little bit. I'm going to be doing these next two posts out of order, because I'm not writing this from home and don't have access to my PokerOffice database. So instead of looking at my numbers and trying to determine what bankroll I need based on Malmuth's formula, I'll be looking at a different and much simpler method of bankroll management. This method is not based in mathematics, does not have a formula, and is much easier to understand. You won't need to buy a book and read up on theory to understand this one.
The method is what I'll call The 5% Method, and is the method of bankroll management that supposedly helped Chris "Jesus" Ferguson turn $1 into $20,000 playing online poker. (I actually used this method and no other bankroll management to turn $25 into close to $600--which I subsequently had to use to pay credit card bills, doh!--over the course of a year. I have no proof though, so you'll just have to believe me.) The main idea here is that you never have more than 5% of your total bankroll on the table at any one time. Additionally, if you double the 5% you sit down with at the table, you then leave the table with your profits and buy back into another game with only a 5% stake. This way, even when you get your money in preflop with AA and lose to the 72o caller, you can only lose so much. Only 5% of your bankroll can be lost to the worst of beats. Additionally, if you are buying in with only 5% of your bankroll, as long as you are willing to move down in limits if the going gets rough you should NEVER manage to go broke.
Now, this is a very easy concept to understand. However, my proposed solution is to use Malmuth's formula to determine the bankroll I need to play at a given limit, and then use Chris Ferguson's method to determine the exact amount I will buy in with at any given table. This way I will be able to play at stakes appropriate for my bankroll, while at the same time ensuring that my bankroll never takes a huge slide even when I get hit with a terrible beat. By combining these two methods, I should be able to keep my poker money intact for as long as humanly possible while playing at the correct limits to allow me to win as much as possible.
29 October 2007
Bankroll Management II - Poker Bankrolls
B = (1.64sigma)^2/4u
where:
u is the hourly win rate
sigma is the standard deviation per hour
B is your required bankroll
This formula assumes you have a 5% risk of ruin tolerance. So, say for instance, we win $15 an hour on average, but can win or lose up to $300 an hour in any given hour. This gives us the condition of:
u = $15/hr, sigma = $300/hr
B = $4035
In other words, we would need to have a bankroll of over $4000 to successfully compete at the stakes where these are our statistics. This obviously means that I will be starting my project at stakes where the numbers are much smaller. In my next post, I will take into account my own numbers from the last 10,000 hands of $0.1/0.2 NL Hold 'Em that I've played on PokerStars and plugging them into this formula to see what kind of a bankroll I will need to play even at this super-micro limit. I will also be introducing PokerOffice, my preferred poker tracking software and discussing some of the features that I'll be using for my poker betting throughout this project.
However, until then I recommend that you get your own copy of Gambling Theory and Other Topics and read the much more detailed description and derivation of this formula for yourself. Malmuth's book is a must-own for anyone that intends to gamble seriously with any sort of theoretical or mathematical background knowledge.
27 October 2007
Is it possible to win in the long term? - Bankroll Management I
The secret is not great bluffing skills, great bluff reading skills, horse selecting skills, or ESP. The real secret is bankroll management. Therefore, my first series of posts will be on this important topic.
Maybe you're asking, what is bankroll management? Your bankroll is money you have set aside specifically for gambling. This means you won't be gambling with the rent money or your kids' college funds. This is a responsible way to gamble. However, if you lose all of this money, your gambling will be done. Bankroll management is the way that a gambler can ensure that there will always be money available for gambling in the future.
For instance, my starting bankroll for this project will be only $250. I will need to practice very careful bankroll management to ensure that my $250 doesn't disappear. Sure, I could put all $250 down on the Pass Line at a craps table and hope that I walked away with $500. But were I to lose, I would be down my entire bankroll, and my gambling career would be over. To be successful in the long run, we must successfully manage our risk of run--the risk that we will lose our entire bankroll.
In my next post I will be discussing the mathematics of risk of ruin, and how we can select gambling options that expose us to the least possible risk of ruin.
Until then, happy gambling.
25 October 2007
Introduction
"Money won is twice as sweet as money earned."
Why would any reasonable person choose to gamble with hard earned money? The above quote—uttered by Paul Newman as pool hustler Eddie Felson in Martin Scorsese’s “The Color of Money”—gives us a pretty good idea of one reason. Sure there’s the lure of easy money. Sure there’s the excitement of putting your money on the line, trying to increase your fortunes in practically no time. Sure there’s the thrill of victory. But in most forms of gambling there’s also the house edge—the money that the house will always take away from you in the long run.
But there’s more to it than that. There are forms of gambling where you don’t play against the house. There are forms of gambling where people are pitted against each other. This is the type of gambling that interests me. This is the type of gambling where I think I can win.
I’ve selected two specific forms of gambling to begin my professional gambling career with. These two forms of gambling are poker and horse racing. Maybe you’re wondering, of all the forms of gambling available, why these two? The answer is, that in these forms of gambling you are not playing against the house where the odds are fixed against you. Instead, you are playing against other players, and their mistakes lead to your profits. Every time you bluff someone out of a pot, another poker player has made a mistake and you have profited from that mistake. Every time you pick the winner of a horse race, you have profited from the mistakes of those who selected a non-winning horse. People make mistakes, and if we can correctly exploit these mistakes we should be able to profit from them.
How, you might ask, can we make sure that we are the ones making the profit and not the ones losing to other players? The answer is hard work, study, and mathematics. Through these tools we can increase our edge over the other players. In both horse racing and poker there is information available to all of the players. However, only those with the knowledge to properly use this information can exploit it profitably.
It is for this reason, I intend to begin this blog by sharing with you some of my philosophy of gambling, some of my favorite sources of gambling knowledge, and some of the techniques I intend to use to grow $250 into as much money as I possibly can. Then I intend to keep everyone updated as to my wins and losses, and my progress in the field of making money through gambling.
Look soon for my first entry on poker, and the strategy I intend to use to make as much money as possible via online and live poker.


