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Wednesday, May 10, 2006

Casino Strategy

During the past 50 years the name Las Vegas has become synonymous with gambling. Nine out of 10 visitors gamble while they're in town. It is almost perverse to visit Las Vegas and not gamble. But while unreasonable expectations can lead to disappointment -- or worse, as in the loss of a lot of money -- the key to having a good time is to approach the casinos with the idea that, contrary to popular opinion, you can win or, at the very least, get much more than your money's worth of playing time. Your success depends less on being lucky than on being familiar with the rules of the games, being aware of the concepts behind the games, and being conversant with the strategies that enable you to play not only with confidence but also with a fair shot at walking away a winner.

The House Advantage

The first important concept to understand about gambling in Las Vegas is that the odds for all the games provide an advantage for the casino ("house"), generally known, appropriately enough, as the "house advantage" (or "edge" or "vigorish"). The casino is a business, and wagering is its product. Because the house establishes the rules, procedures, and payoffs on every game, it builds an automatic commission into every bet to ensure a profit margin.

Here's how it works. Let's pretend that I'm the house and you're the customer and we're betting on a series of coin flips. The deal that I make with you is that every time the coin lands heads up, I win and you pay me a dollar. Every time the coin lands tails up, you win -- but I only pay you 90¢. The law of averages maintains that out of every hundred coin tosses, heads will win 50 times and tails will win the other 50. If I take a dime out of every one of your winning payoffs, the longer you play, the more dimes will wind up in my pocket. If you started with a $50 bankroll, after 1,000 tosses, even if you win half of them, you'd be busted out. (Because it requires two trials -- win one, lose one -- for the house to make its 10¢ "commission," your "negative expectation," or house edge, in this example is 5%.)

The second important gambling concept is known as "fluctuation" (or "variance"). In plain English, we're talking about "luck." Looking at our coin-toss game through the lens of averages, if you and I flip a coin 1,000 times, it's reasonable to expect that the coin will land heads up and tails up close to 500 times each. However, if we flip the coin only 10 times, it's conceivable that the coin could land heads up only twice or as many as eight times. Now let's say that we made the same betting deal as above but we limited the number of tosses to 10. This would largely eliminate your 5% disadvantage and leave it up to "the luck of the toss" or, in other words, the fluctuation. Thus, a short-term fluctuation in the law of averages eliminates the long-term threat of the negative expectation.

How do these concepts -- the house advantage and negative expectation, as well as short-term fluctuation -- apply to the choices that you make as a casino customer? Your decisions, based on these concepts, will determine not only what you play, but also how you play, how long you play, and, ultimately, how well you play.

Luck Versus the Edge

The average "bankroll" (cash carried for the sole purpose of gambling) of a Las Vegas visitor who plans to spend some time in the casino is roughly $500. This is a crucial statistic. The amount of your bankroll and your preferred style of "action" (how you risk your bankroll) define your relationship to luck and the house edge.

Basically, the parameters of gambling action are fast and slow. Some people, though they're in the minority, like their action fast and loose and high risk; these are true "gamblers," in the old-fashioned sense of the word. The extreme version of this type of action is to take the whole $500 bankroll and lay it down on a single play -- say, red or black on the roulette table. The odds are not quite even. The green 0 and 00 on the roulette table give the house an advantage of 5.26% (Roulette, below). Still, even though the odds are less than fair, the immediate result will be the same: double or nothing.

Making one play eliminates both the law of averages and the long-term threat of the house advantage; here you rely solely on the luck of the draw. If you want to go on a roller-coaster ride of luck, with a minute or so of adrenaline-pumping, heart-pounding excitement, lay it all down at once. In a matter of moments, you'll either have twice the money you arrived with or none of it.

A less extreme version of this wild ride is to break your bankroll into two units, and make two bets. Here you can either double your money, lose it all, or break even. Similarly, if you separate your $500 bankroll into five units and make five bets, or 10 units and make 10 bets, your ride lasts a little longer and your outcome is a little less black and white: You can double, bust out, break even, or come out somewhat ahead or behind. Still, the cumulative danger of the house advantage barely comes into play.

Luck can supersede the house advantage, but only in the short run. And though luck accounts for winners big and small -- such as the California nurse who lines up four Megabucks symbols on the $3 pay line to win $9 million or the $2 dice shooter who parlays a hot hand into a couple of hundred bucks -- the lack of luck can obliterate a bankroll faster than a crooked S&L.

Besides, most people who come to Las Vegas like to gamble for as long as they can without running out of money. These people take their $500 bankrolls and split them into 100 units to make $5 bets, 250 units for $2 bets, 500 units for $1 bets, or even 2,000 units for 25¢ bets. This guarantees plenty of time for the law of averages to even out the fluctuations. On the other hand, it puts the house advantage and the negative expectation right back into the game.

So how do you play as long as you like without the certainty of the house advantage grinding your bankroll into dust?

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