Following my Wizard strategy will result in a house edge of 2. The second and third decision points are influenced by the James Grosjean strategy , for which I have great respect, as I do for all of Grosjean's work.
I highly recommend his strategy if you want to something even more powerful than my simple strategy above. This is the most common progressive jackpot, in my experience, so I'll title it the "Common Progressive.
The following table shows the probability and contribution to the return for the various wins. Wins are relative to the amount bet and are on a "for one" basis.
What the table above immediately shows us is fixed wins return For each additional player at the table, besides yourself, your return goes up by 0.
The next table shows the break-even point, where the Progressive side bet has zero house edge, according to the bet amount and number of other players not counting yourself.
The top win is for a royal flush using at least one hole card, which I call a "hidden royal flush. The following table shows the return of the fixed wins only, not counting the envy bonus.
It shows a return of The return for the Envy Bonus is 0. The Big Progressive tends to be much larger, because the player must flop a royal flush to win it.
In other words, the player cannot make use of the Turn and River cards to win the progressive, unlike in the Small Progressive.
There is no Envy Bonus. It was seen at the Buffalo Thunder casino in New Mexico. Royal entirely on board 0. The return for at any given time is Fixed wins are not deducted from the meter.
That would make the overall return It pays if either the player or dealer lose with a three of a kind or better. Gaming literature mentions two different pay tables.
My analysis of both is below. The bottom line is a house edge of I'm told this side bet can be found in Washington state, the Flamingo in Las Vegas, and Norwegian cruise ship casinos.
It pays based on the player's hole cards, except the top award also involves the dealer's hole cards.
The lower right cell in the following table shows a house edge of 8. I have an unconfirmed report that at the Crown casino in Perth, Australia, the blind bet pushes if the dealer doesn't qualify and the dealer wins.
Assuming no change in strategy, this happens 1 in every hands. When it happens, the player will lose one less unit. The effect is a reduction in the house edge from 2.
Some casinos add on a side bet known as the 6-Card Bonus. This side bet is found on multiple poker-derivative games, so I created a special page for it.
For more information, please see my page on the 6-Card Bonus. What I'm especially pleased with is the advice feature, which offers advice based on optimal strategy.
Put in any cards after the flop, river, or turn, and it will tell you the correct play and expected value.
Play for free with an advice feature to catch your mistakes. Put in any cards to determine the best play. Details on the odds before the flop.
Heads Up Hold 'Em. Similar game, offering bad beat bonuses, but 3x raise only after two cards. It is short, intuitive, and powerful.
The house edge is 2. The actual house edge under pay tables 1 and 2 would be slightly less or equal to these figures. Unfortunately, there is no easy way to quantify optimal strategy for this game.
In general these are when the player has two singletons in the hole that are low compared to the flop, with little or no chance for a straight or flush.
It pays based on the poker value of the player's hand after the flop. There are three known pay tables, as follows:. Pay tables 1 and 2 can be found in land casinos.
Pay table 3 is used by Internet casinos using Gamesys software. The Progressive Jackpot bet shall pay based on the player's two hole cards and the five community cards only.
It does not matter whether or not the player folds or loses to the dealer. In the event of a straight flush or royal flush on the board, all players who made the Progressive Jackpot bet shall split the win.
The following table shows the probability and contribution to the return for each event. Obviously, the return from the top two awards will depend on the jackpot size, so are treated as unknowns.
The table above shows the fixed wins return Due to jackpot sharing, the return will go down slightly according to the number of other players making the bet.
There is another progressive jackpot called the "Jumbo Jackpot. The return for the top award depends on the amount in the jackpot.
I can say that all the other wins return For every , bet units in the meter the return increases by 2. There is yet another side bet based on the player's first two cards and the three-card flop.
The above analysis was performed using a brute force combinatorial program that analyzed all 27,,,, possible outcomes, and played every hand according to optimal player strategy.
It took my computers about a month to crank though the The web site for Casino Hold'em, as well as other games, is www.
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The Wizard of Odds. Rules The rules are as follows. Play begins with each player making an Ante wager.