If you want to get an edge over the casino at roulette, you first need to understand how and why the casino has an edge over you.
The math works about the same for every bet at a roulette table. I’ll discuss the math behind the single bet to illustrate the edge, though.
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An American roulette wheel has 38 numbers on it: 0, 00, and 1-36 inclusive.
You can bet that the ball will land on any of those individual numbers. If you win this bet, you get paid off at 35 to 1.
The odds of winning, though, are 37 to 1.
You have 37 ways to lose and only 1 way to win.
You can calculate the average amount lost per bet by looking at a theoretically perfect set of results with $100 bets.
In other words, you bet $100 38 times, and you get 1 of each result on the wheel each time. (This never happens in actual practice, but this is how you do the math.)
This means you’ll lose $100 37 times, for a total loss of $3700.
You’ll also win $3500 once, for a total win of $3500.
$3700 – $3500 = $200
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$200 averaged out over 38 bets is $5.26 per bet.
Thus, we say that the house edge for the game is 5.26%.
You’re mathematically expected to lose 5.26% of every bet you place.
Over a long enough period of time, you’ll eventually see results that resemble this number.
But we’re talking about thousands of spins before we’re relatively sure that we’ll see results similar to what we theoretically expect.
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