The Maths behind Roulette
Roulette is a very popular and glamorous casino game, enjoyed by the rich and famous - even by James Bond himself. But what are the odds of you actually winning anything at the roulette table? Let's find out.
As the roulette wheel is spun, the ball lands on a number, represented by a block or area on the roulette table. It is supposedly landing on random numbers with neither the casino nor the operator being able to affect the outcome.
Depending on the type of roulette, there may be 37 or 38 numbers on the wheel, namely 1 thru 36 and one or two zeros. With European roulette there is one zero, with American roulette there are two. Your chances of hitting a specific number are therefore respectively 1 in 37 or 1 in 38.
The player can bet on any number on the roulette table but also on a group of numbers, such as red or black, 1 - 12, 2 - 24, etc. As the odds get lower, the payout gets higher.
The house edge (odds in favour of the casino) is determined by the number of zeros on the board. A zero is neither black nor red and it also doesn't fall within any of the available groups. Therefore, by being right 50% of the time when betting on a coulour, you would slowly but surely lose your money. That is because, once in a while, the ball will land on zero. Over a period of time this erodes away any winnings the roulette player my have accumulated - if he is not clever enough to quit when he's ahead.
Here is an article about your odds at the roulette table and whether it can be improved mathematically, or statistically.
Here is an article examining one of the more well-know roulette strategies, using a computer simulation.
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