5/28/2023 0 Comments Card game simulator bettingIf at any point during the round the pot becomes empty, the round ends and a new round begins. If a player's wealth becomes zero, the player quits the game. If the player wins, the player receives the amount of money bet from the pot otherwise, the player contributes the amount of money bet to the pot. Assuming that the second card is an ace, it is automatically declared “high.” After the two cards are dealt to a player, the player bets an amount of money, ranging from 0 to the pot amount, that the third card dealt will be strictly between the two already dealt cards (which we designate as event ). Assuming that the first card is an ace, the player must declare it “low” (of value 1) or “high” (of value 14). Subsequently, each player is dealt two cards, one at a time, face up. In the beginning of the round, every player contributes a fixed amount of money (henceforth assumed to be equal to 1), known as the “ante,” to the pot in order to play. Aces can be associated with either 1 or 14, subject to further rules stated below. The cards from 2 to 10 are associated with their face values, while Jack, Queen, and King with the values 11, 12, and 13, respectively. The game is played in rounds and with a standard deck of 52 cards. From this point of view, Betweenies make a particularly interesting case study for KC. This feature can actually lead to ruin even if this strategy is followed. As we will throught see below, however, the set of rules of this particular game does not fall within the scope of the general case considered in, in view of the fact that the player needs to contribute an amount of money in the beginning of each round for the right to play in this round. KC is famous for suggesting an optimal betting strategy which, at the same time, eliminates the possibility of the gambler getting ruined. In this work we calculate the probabilities associated with the game, namely, the probability that a given hand is dealt and the probability of winning given the hand dealt, and we suggest a betting strategy based on Kelly's criterion (KC). Though the exact rules vary, the main concept is that the player is dealt two cards and bets on whether the value of a third card dealt about to be dealt will be between the values of the two previously dealt cards. The card game of “(In-)Betweenies” or “In-Between” is also known under many alternative names including “Between the Sheets“, “Red Dog”, “Acey Deucey”, and “Yablon.” It comes in many variants and is offered as a gaming option in several casinos and online casinos. We also provide some gameplay simulations. Issues, and analyze the strategies it suggests. Afterĭiscussing the shortcomings of the direct approach, we introduce an information-theoretic technique, Kelly'sĬriterion, which basically maximizes the expected log-return of the bet: we offer an overview, discuss feasibility Present the exact rules of the two main versions of the game, and we study the optimal betting strategies. In the game of Betweenies, the player is dealt two cards out of a deck and bets on the probability that the third card to be dealt will have a numerical value in between the values of the first two cards.
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