House Edge in Microgaming Cyberstud PokerBy: Joan Peppin, Tuesday July 6th 2010
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At Microgaming online casinos Caribbean Stud poker is known as Cyberstud Poker, though it is played in the same way. When players want to choose between online casino games they compare house edges and go for the games with lower house edges. House edge is the percentage of the amount wagered by the player that the online casino expects to retain in the long run based on statistical calculations. This article explains how the house edge is calculated for Microgaming Cyberstud Poker. The probabilities for the various outcomes have been determined by computer simulation. The calculations assume that the player wagers according to optimum strategy rules.
It has been determined that the player would fold 47.77% of the time and raise 52.23% of the time. Suppose he starts with an ante bet of $1. 52.23% of the time he would place the raise bet of $2. Therefore his average wager in the long run would be $2.0446. This calculation will be used later. The first outcome is the player folding. This will happen 47.77% of the time and the player would lose $1, making his expected return -$0.4777.
The second set of outcomes deal with the player raising but the Cyberstud Poker game not going to the payout table. There are three outcomes in this set. The first outcome is that the dealer does not qualify. The probability of this is 22.74%. The ante bet of $1 pays even money and the raise bet pushes. The net win is $1 and the expected return is $0.2274. The second outcome is that the dealer qualifies and wins. The probability of this is 13.68%. The player loses the $1 ante bet and the $2 raise bet, making the total loss $3. The expected return is -$0.4104. The third outcome is that there is a tie after the dealer qualifies. The probability of this is 0.0016%. All bets push so there is no loss or gain and the expected return is $0. The expected return for this set is the total of the individual expected returns, which is -$0.1830.
The third set of outcomes deal with the player raising, the dealer qualifying and the player winning. In this case the ante bet is paid even money and the raise bet is paid according to a payout table. The payout table would be different for different software providers. In this calculation the Microgaming payout table is used. At the upper end the player can win with a royal flush. The ante bet of $1 pays even money, hence the player wins $1 on this account. The raise bet of $2 pays 999 to 1, hence the player wins $1,998 on this account. His total win would be $1,999. However the probability of this happening is a minuscule 0.000084%. The expected return is only $0.0017. At the lower end the player can win with a pair or less. The ante bet of $1 pays even money, hence the player wins $1 on this account. The raise bet of $2 also pays even money, hence the player wins $2 on this account. His total win would be $3. The probability of this happening is 11.76%. The expected return is $0.3527. The expected returns for the other outcomes in this set can be similarly calculated. The expected return for the entire set is to $0.6107.
The total expected return is -$0.4777 -$0.1830 + $0.6107, which is -$0.0500. Since this is the expected return for an average wager of $2.0446, the house edge works out to 2.45%. This is less than the house edge for European Roulette, making Cyberstud Poker a very attractive online casino game, if one knows the optimum strategy.
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