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From the formula, we can see that the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played. The bigger size of the potential payouts, the more the standard deviation may increase. The binomial distribution assumes a result of 1 unit for a win, and 0 units for a loss, rather than −1 units for a loss, which doubles the range of possible outcomes. The luck factor in a casino game is quantified using standard deviations (SD).

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