23 thoughts on “The Mathematics of Roulette I Understanding Casino Games

  1. I heard a saying that went something to the effect of "Those who have a system for playing roulette will lose their money systematically." I think it was in a movie. Or was it about Keno?

  2. Winning for the players in casino games is all illusion. Casinos win over you is normal. You win over casinos is only your luck. Consider how many people in the payrolls in the casinos you should know. Welcome to your favorite casino, salvation armies.

  3. You go and only bet red or black, start with $1 or $5..

    You lose, you just double up eventually you will hit a red

    Bet $1, lose, down $1
    Bet $2, lose, down $3
    Bet $4, lose, down $7
    Bet $8, win, up $1
    Pocket that $1 and start over the original $1

    Eventually its gonna hit red

  4. I guess the fundamental point of the house having better odds exists in the existence of the '0' and '00', without which the EV would amount to 0 in all cases. Wonder how this works for European Roulette. Does the house have slightly worse odds in that case?

  5. Professor Benjamin, recently I'm playing a spinning wheel game online. Here's the situation: players bet on four given multiples of the betting amount—2 ,3, 7, 18, and the wheel consists of 37 bars for the pointer to land on, among the 37 bars, there are 18 2s, 12 3s, 5 7s, and 2 18s.
    Apparently, betting on 18 yields the maximum return. However, based on my observation and experience, the frequency for 18 could appear 2 times in a row, and then reappear in 3 to 10 rounds of betting, but eventually I had to patiently wait for 28 to 120 rounds for 18 to pop up again, which is perplexing to put bets on. In one extreme case, the pattern went 18,7,7,18,7,18. On the basis of the laws of probability theory and stochastic processes, what is the safest bet for maximum return when betting on 18 and 7?

  6. Thanks for the $1 /1 number bet. Can you please give me the example of $1 each at 10 numbered play? Would that still calculate at 5.3 cents per dollar? = .53/@ $10. Thanks

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