– For hitting the favorable color and have that profit, the player must sustain the previous cumulated loss (which is
– For a sufficient number of consecutive plays, the player always has a positive profit ( S) This applies for any game of chance, including roulette.įor example, hitting the same color for n times in a row on a single-zero roulette has the probability For n = 3, this is 11.51%, for n = 5 is 2.72%, while for n = 10 it goes down to 0.07%.īasing on these low probabilities of repetition and some mathematical certainties, players built systems and strategies, among which the martingale is the most practiced.Īssuming n consecutive bets are lost and the n + 1 – th is won in a martingale, starting with the amount S as the stake of the first bet, algebra can easily show that the amount received is bigger than the previous cumulated loss, and the profit is S, no matter the value of n.įor a player who runs such system once, the following facts are unquestionable: Anyone knows that odds for the same event to occur several consecutive times in a series of independent plays of a game are very low.
