The advantage of the roulette casino is easy to calculate, it depends on the number of “zero” boxes present: two in American roulette, one in European roulette.
When the ball lands on the “zero” (0) or “double zero” (00) box, the casino collects all the bets from the table: it is these boxes that make roulette a profitable game for the casino.
A single zero square in European roulette
If a player bets on a single number, he has a probability of 1/37 of winning. If he wins, he will win 35 times his stake. The casino advantage is therefore 2.7% : (35-36) / 37 x 100 = 2.7%
The prison rule applied in France benefits the player who plays exclusively on simple chances: Black, Red, Even, Odd, Miss or Pass. Indeed, this prison rule makes it possible to recover half of the stake in the event of leaving Zero. The casino’s advantage is therefore reduced to half of 2.7%, or 1.35% .
Two zeros in American roulette
American roulette has two zeros, the casino advantage is greater than European roulette, 5.26% : (35-37) / 38 x 100 = 5.26%.
Conclusion: favor European roulette
It is therefore clear that playing European roulette is more advantageous for the player. If you have a choice between playing European Roulette and American Roulette, choose European Roulette.