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...maybe Dave has something to say which could work...
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Okay, so maybe it is self-centered of me to consider this was me you are talking about, but "the heard my name" buzzer went off (and ruined a fine Wednesday nap, I might add) so here I am.
First, money management is not rocket science, but risk-reward can be.
Let's start with a couple of absolutes (no vodka):
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1. You cannot change a negative expectancy to a positive expectancy with a betting scheme.
2. You cannot change a positive expectancy to a negative expectancy with a betting scheme.
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So, what good is a betting strategy?
Well,
if you already have a positive expectancy there is more to playing a game than winning and losing. There is also
consistency.
While we cannot change a disadvantage into an advantage, we can use a
money management strategy to restructure the bets in the game to something that is... for lack of a better phrase...
more pleasant experience.
Permit me to site a couple of examples.
Suppose you are a casino owner. (Joe's Casino - take interstate 50 south to just this side of the tunnel, make a left next to the Shell station, then go...) In this casino, you have a roulette wheel. That wheel has 36 numbers (numbered, amazingly, 1 through 36), a zero and a double-zero. A total of 38 numbers.
When one of your suck... uh, players, makes a wager on a number they have one chance in 38 of connecting and you pay them 35-1. For you math whizzes out there, this translates into a 5.26% disadvantage for them. (bet $1 x 38 = $38 bet, return $36 [don't forget that you get your dollar back as well], so you lost 2/38 or -5.26%)
So, what is
your advantage? Why it is 5.26%, of course. Because whatever the, uh, customer is going to lose, you are going to win.
Now, that may seem very basic, but one must always bear it in mind. For every winning bet, there is a losing bet as well.
So, imagine that the customers at your table are so tired of hitting only once out of each 38 bets and they begin to complain that the game is too hard. You decide to give them a special wager where they can win twice as often! You call it "Two Numbers Split" and decide that it is going to pay 17-1. Is the customer smart enough to see that your advantage (his disadvantage) has not changed in spite of hitting twice as often?
(bet = $1 x 38= $38; return $36 [$18 x 2; don't forget that you are getting your dollar back two times now], so he is still losing 2/38 or 5.26%.)
Heck, you might even develop a bet that allows the user to play
three numbers at once. It pays 11-1, so each time it hits the player gets back 12, he does that 3 times out of each 38 spins. Yup. Still losing 5.26%. Now he gets to win three times out of each 38 spins, or 7.89% of the time.
You could have a wager that allows six, twelve or even eighteen numbers. All with the same
mathematical (and financial) outcome.
So, what is the point to allowing the customer win three-times as often while keeping precisely the same expectation? It allows him to be
more comfortable while he loses his money. And this is a good thing, don't you think?
But there is an interesting side-effect to this plan. You see, as players come and go, there is still a
risk that someone could (heaven forbid) get lucky and, while betting very large sums of money conk you pretty good at a 35-1 clip.
What do I mean?
Well, what you have effectively done by adding these "proposition" bets is to lower the odds hat you have to pay when a player hits and that will
usually lower your risk.
If you get a chance, go watch a busy roulette wheel in a casino somewhere. Imagine that everyone is playing the same
betting unit no matter what color their chips are. What you will typically see is that in spite of a few big hits where a player has clustered her bets (remember when only women played roulette?) around a single number, most of the time the winners are paid off by the losers.
Same principle in a progressive-slot carousel. There is only one winner for the big hit at a given time.
So, what does all this have to do with "money management?"
First, there is more to a game than the advantage (or disadvantage). There is also
hit rate. And one more thing... ruin.
We'll discuss that next.