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The payout given by the casino for a win is based on the roulette wheel having 36 outcomes, and the payout for a bet is given by . For example, betting on 1-12 there are 12 numbers that define a win, p = 12 {\displaystyle p=12} , the payout is 36 12 = 3 {\textstyle {\frac {36}{12}}=3} , so the bettor wins 3 times their bet.
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The house edge (HE) or vigorish is defined as the casino profit expressed as a percentage of the player's original bet. In games such as Blackjack or Spanish 21, the final bet may be several times the original bet, if the player doubles or splits. Example: In American Roulette, there are two zeroes and 36 non-zero numbers (18 red and 18 black).
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Fractional odds are written a − b (a/b or a to b), meaning a winning bettor will receive their money back plus a units for every b units they bet. Decimal odds are a single value, greater than 1, representing the amount to be paid out for each unit bet. For example, a bet of £40 at 6 − 4 (fractional odds) will pay out £40 + £60 = £100.
A continuous sequence of martingale bets can thus be partitioned into a sequence of independent rounds. Following is an analysis of the expected value of one round. Let q be the probability of losing (e.g. for American double-zero roulette, it
The house edge, or vigorish, is defined as the casino profit expressed as a percentage of the player's original bet. (In games such as blackjack or Spanish 21, the final bet may be several times the original bet, if the player doubles and splits.) In American roulette, there are two "zeroes" (0, 00) and 36 non-zero numbers (18 red and 18 black ...
Parimutuel betting differs from fixed-odds betting in that the final payout is not determined until the pool is closed—in fixed-odds betting, the payout is agreed at the time the bet is sold. Parimutuel gambling is frequently state-regulated, and offered in many places where gambling is otherwise illegal.