design a game of 2 dice that is profitable to the casinoSolu

design a game of 2 dice that is profitable to the casino

Solution

The aim of this portfolio is to create a dice game in a casino and model it using probability. This dice game will be analyzed with the goal of finding the best way to run it from the perspective of the player as well as that of the casino. The portfolio is divided into two sections, the analysis of the dice game model and the applications of it in a casino environment. The analysis will be mainly focused with developing of mathematical models to represent the various probabilities of variations of the dice game. The casino model will focus on the expected profits of the player and the bank, as well as finding the best model for a casino to run. 2 Analysis 2.1 Dice Game If we consider a game with two players, Ann and Bob, in which each player has their own unbiased sixsided die. Ann has a red die, and Bob has a white die. They simultaneously roll their die, and note the number of the upper face, which we will consider their score. If they both roll the same number, Bob wins the game. But if Ann scores higher than Bob, she wins, and if Bob scores higher than Ann, he wins. It is important to note that the probably of any unbiased six-sided dice landing on a given number. This is calculated by using the probability formula,

P(n) =instances desired events / total possibilities. The dice it is six-sided (0 n 6); therefore, the total of possibilities is six. Since there is only one instance of any given number, it follows that the probability of an unbiased dice landing on any given number is P(n)= 1/6