Calico傑克
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Calico傑克賭場賭博是賭場中賭博的一種形式。這是一個修改版的二十一點。賭場裏有兩張桌子玩遊戲,一個低賭注(100個Q幣賭注)和一個高賭注(1000個Q幣賭注)。
Game Rules
The objective is to score higher than the dealer without exceeding 21.
The player and the dealer are both dealt two cards, the first valued between 1 and 11, the second between 1 and 9. The dealer's first card is hidden while the player takes his actions.
The player can then choose to stay, keeping their current total, or hit, drawing a new card valued between 1 and 9. This is repeated until the player exceeds 21, a "bust", for an immediate loss; makes a total of exactly 21, a "CalicoJack", for an immediate win; or chooses to stay.
If the player stays, the dealer's hidden card is displayed. The dealer will then take additional cards (valued between 1 and 9) until they either bust, or have a total of 18 or higher that is at least as high as the player's total. If the dealer busts, the player wins; if the dealer has a higher total than the player but no greater than 21, the player loses; if the player and dealer have the same total, the game is a draw.
If the player wins they gain a number of Qi coins equal to their bet. if they lose, they lose their bet. If the game is a draw, no coins are won or lost.
Game Strategy
Optimal strategy for the player is to stand on 18 or higher when the dealer shows a 9, stand on 16 or higher when the dealer shows a 5 or 6, and stand on 17 or higher against all other dealer upcards.
Using optimal strategy, the chance of winning a game of CalicoJack is 43.9%, giving the game a house edge of 12.1%. (This is about 20 times higher than typical real-life casino blackjack games.) If you play CalicoJack long enough, it is a statistical inevitability that you will lose all your Qi coins. If you are after the more expensive casino prizes, it's a better bet to just buy the coins than to try to win them.
(These results differ from pankosaur's analysis, which assumes dealer always stands on 18 or higher; this is not the case, at least not in the current version. Also, they assume that cards are dealt randomly; according to leuven's post on reddit, Luck does not affect the game.)