The aim of this task is to create a dice game in a casino and model this usingprobability. It is...

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The aim of this task is to create a dice game in a casino and model this usingprobability. It is important to examine how best to run the game from both theperspective of a player and the casino. In doing so, analyze the game to consider theoptimal payments by the player and payouts by the casino.Consider a game with two players, Ann and Bob rolling dice.• In the first scenario, Ann has a red die and Bob has a white one. They roll their dice and notethe number on the upper face. Ann wins if her score is higher than Bob’s (note that Bob winsif the scores are the same). If both players roll their dice once each, what is the probabilitythat Ann will win the game?• Now consider the same game where Ann can roll her die a second time and will note thehigher score of the two rolls, but Bob rolls only once. In this case, what is the probability thatAnn will win?• Investigate the game when both players can roll their dice twice and also when both playerscan roll their dice more than twice, but not necessarily the same number of times.• Consider the game in a casino where the player has a red die and the bank has a white one.Find a model for a game so that the casino makes a reasonable profit in the case where theplayer rolls the die once and the bank rolls the die once. (When creating your model, you willneed to consider how much a player must pay to play a game and how much the bank will payout if the player wins. DO this from the perspective of both the player and the casino andconsider carefully the criteria for whether the game can be considered worthwhile for boththe player and the casino.)• Now consider other models for the game including cases such as where the player or the bankrolls their dice multiple times, or where multiple players are involved in the game.

David · Accepted Answer

Sorry for my late reply. Below, are my answer: 
 
The Dice Game 
Table of rolling the two dice 
 
A = event where Ann is winning 
B = event where Bob is winning 
L = event neither Ann and Bob is winning 
P(A)=15/36, P(B)=6/36, P(L)=15/36 
 
(point number one) Case where Ann is winning has probability of P(A)=15/36 
Ok in the question you have not mentioned that there will be a neither win 
case, I have assumed that if Ann equals the score will result in Bobs win. 
 
(point number two) Case where Ann rolling for the second time is only 
happened when both Ann and Bob didn’t win the first roll. 
The probability is: 
P(L)∙P(A)=15/36∙15/36 
This you should have mentioned in the question, if in a case where Ann rolls 
her dice twice and than bob will take his chance in this case. You need not 
consider Ann’s both throws separately.

The aim of this task is to create a dice game in a casino and model this usingprobability. It is important to examine how best to run the game from both theperspective of a player and the casino. In...

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