The value of the average bet and sum of all of the bets are positive values therefore ME is always less than zero, that is ME£0 and less than ME£-1/37 if used the progression because the average rate is bigger than 1. The sum of all bets made by the player or -1/37 from the value of the average stake multiplied by the number of spins played by a gambler.Īssessing the ME of any strategy is enough to determine the value of the average bet while you are playing according to this strategy and taking into consideration all the rules of the transition from bet to bet, and multiplying the result by -1/37. As ME result of all bets is negative and equals -1/37 the size of the stake, then the total expectation of the game result will be negative and equal -1/37.
Using the strategies of the bets:įor the mathematical proof of the winning's impossibility at ' European roulette' or ' American Roulette,' it is enough to expand any betting strategy on the 'basic' bet. Or in other words, the player ALWAYS loses when he makes a bet at 'European Roulette' regardless of the outcome of the current spin. At the same ME of the game, it is not dependent on the outcome of the spin that is, the player loses even when he wins.
If the gambler is playing at 'European roulette', (no matter where and how much he puts), he ALWAYS loses 1/37 part of the bet (bets).