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On Sunday night, I took a date to the Winstar Casino in Oklahoma to do some gambling. I’ve never really done much gambling there besides playing poker. We didn’t have much fun at the slots, which seemed tight, so we decided to try the table games.

We started with roulette and went on to play blackjack. I knew in a vague way that the Winstar (like other Oklahoma casinos) charges an ante when you place a bet. But this was the first time I’d spent much time at the tables paying that ante on every hand of blackjack and every spin of the roulette wheel.

Being a gambling writer who’s especially interested in the math behind the games, I started thinking about how to quantify what this ante does to the house edge.

I had a math teacher in high school who insisted that I “show my work.”

That’s what I intend to do in this post. Calculate the house edge for the table games I played at the Winstar Casino, accounting for the antes. Good craps roll crossword clue.

What’s an Ante?

An ante is a forced bet, usually in poker, that drives action to the game. In the Native American casinos in Oklahoma, it’s an amount you put up in addition to your bet that the house keeps whether you win, lose, or push.

It would be more accurate to describe this so-called “ante” as a fee for playing a hand of blackjack or for betting on a spin of the roulette wheel. The casinos love to use euphemisms to make a bad deal seem slightly better, and using the word “ante” instead of “fee” is just an example of this.

This has the obvious effect of costing you the amount of the fee multiplied by the number of bets you make. Even if you’re winning, the fees add up. They could easily be the difference between a winning session and a losing session.

How the Roulette Ante Affects the House Edge

The first weird thing about playing roulette at the Winstar Casino is that they don’t have an actual roulette wheel. There’s an animated roulette wheel that drives the results. That wasn’t THAT weird for me; I’ve played at plenty of online casinos that did the same thing.

But the online casinos use a random number generator program to produce their roulette results. That’s a computer program that generates thousands of numbers per second. When you hit the “spin” or “bet” button at an online casino, the RNG stops on whatever number it’s “thinking of” at that millisecond.

The roulette games at the Winstar Casino don’t work that way. They have a dealer with a deck of cards. The dealer scans the playing card into a machine, then the animated roulette wheel spins and lands on the space that corresponds to the card that was dealt.

I have no reason to think that the probability of the underlying game had changed. It was a standard American roulette wheel on the giant TV screen above the table. It had 38 possible results, 2 of which were green (the 0 and the 00). 18 of those results were black, while the other 18 were red, and so on.

The table limits weren’t unusual, either. $5 minimum on the outside bets, with a $500 maximum bet.

But I had to pay a $1 fee (the so-called “ante”) every time they spun the wheel.

I didn’t even realize that was the case until the dealer told me to put up the extra dollar.

How did that affect the house edge?

Let’s start by assuming that we’re going to “spin the wheel” 38 times, and we’re going to get statistically perfect results. We’ll also assume that I bet on black every time.

This means that I’ll win $5 on 18 spins, and I’ll lose $5 on 20 spins.

On top of that, I’m going to lose $1 on each of the 38 spins. Harrah s laughlin casino host.

I have $90 in winnings, and $100 in losses on the spins. Add $38 to my losses, and I wind up with a net loss of $48 over 38 spins.

That’s an average loss of about $1.26 per spin.

Since I’m basically putting $6 into action on every spin, an average loss of $1.26 per spin equates to an average loss of 21% of my bet.

That’s a lot higher than a 5.26% loss per spin.

In fact, that’s TERRIBLE.

Can You Do Anything to Lower the House Edge on the Roulette Games at the Winstar?

Here’s the thing:

I’m a low roller. (As you can imagine, gambling writers don’t make that much money.)

But if you have a bigger bankroll than I do, you can lower the house edge by betting more each time they spin the wheel.

The fee for the roulette games (and the craps games, for that matter) at the Winstar Casino remains $1 regardless of whether you’re betting $5 per spin or $500 per spin.

What does that change the house edge to?

You do the math the same way, but the average losses as a percentage of the money you’re putting into action drop as you raise the size of your bets, as follows:

If you’re betting $5 per spin, your average loss per spin is $1.26.
If you’re betting $100 per spin, your average loss per spin is $6.26.
If you’re betting $500 per spin, your average loss per spin is $27.32.

This means the house edge at each of these levels is:

At $5, the house edge is 21%.
At $100, the house edge is 6.2%
At $500, the house edge is 5.45%.

Notice how at $500 per spin, the house edge is almost normal–normal being 5.26%.

But your sole goal shouldn’t be to get the house edge as low as possible. You should also consider your average cost of playing per hour.

The roulette games moved along at the Winstar at a good clip–about 50 spins per hour.

To calculate your average loss per hour, you multiply the number of bets per hour by the average size of your bet, and then you multiply that by the house edge.

For a $5 bettor, this means you’re putting $6 into action 50 times per hour, for $300 per hour in total action. With a house edge of 21%, you can expect to lose $63/hour.

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For a $100 bettor, you’re putting $101 into action 50 times per hour, for $5050 in total action. With a house edge of 6.2%, you can expect to lose $313.10/hour.

For a $500 bettor, you’re putting $501 into action 50 times per hour, for $25,050 in total action. With a house edge of 5.45%, you can expect to lose $1365.23/hour.

The big difference is between the $5 and $100 mark–you’re betting 20 times as much per hand, but the difference in the house edge is so great that your expected losses only go up by a factor of 5.

You’ll need to decide for yourself how much an hour of roulette is worth to you, but keep in mind, too, that these are long term averages anyway. Even if you’re betting $5/hand, you could come out a winner in the short term.

In fact, even though a lot of gambling experts eschew the Martingale System, Michael Bluejay wrote an excellent page about how the system does increase your probability of having a small winning session in the short run. This will, of course, over time, be balanced out by some large losing sessions.

(The Martingale System worked well enough for me Sunday night that I broke even at the roule

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