Any betting system has its own parameters to take into account: overall probability of winning, amount to win, amount to lose.
The relations between these parameters are the objective criteria of choosing a betting system.
We placed straight bets on 7 black numbers, each with stake S, and a bet on red with stake cS (c is an arbitrary coefficient).
What’s the odds of winning? Where should c be such to have positive profit in most of situations?
Answer. The probability of winning (no matter the amount) is 65.78% or 67.56%(American/European). The condition on coefficient c is 7<c<29.
The problem can be generalized for straight bets.
We placed a column bet with stake cS and 8 straight bets each with stake S on numbers outside that column.
What’s the odds of losing and where should c be for the possible amount won to excceed 10S?
Answer: The probability of losing (any amount) is 47.36% or 48.64%(American/European). The condition on c is 9<c<28.
The problem can be generalized for straight bets outside that column.
We placed 5 street bets each with stake S on street holding 2 red numbers each and a bet on color black with stake cS. Odds of winning? What is the maximal possible profit if c assures a positive profit in most cases?
Answer: The probability of winning is 13.15% for the American roulette. The condition on c for a positive profit in most cases is 5<c Improved systems that increase the winning probability, along with their parameters and formulas that return dozens of tables can be found in Barboianu’s book “Roulette Odds and Profits: The Mathematics of Complex Bets”.
Hundreds of betting systems to choose from and the entire mathematics of roulette, including the mathematical model, the profit function, complex bets, echivalence of bets and improvement of the bets, are all explained in detail. Play online, and even for free and you will see most casinos will offer 1 hour free play games. Another good trick is never start playing for money, visit 1 hour free play casinos and so you will definitely get more chances to win.

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