+ Reply to Thread
Results 1 to 4 of 4

Thread: The Dice Game

  1. #1
    Points: 347, Level: 6
    Level completed: 94%, Points required for next Level: 3

    Posts
    2
    Thanks
    0
    Thanked 0 Times in 0 Posts

    The Dice Game




    Hello everyone,

    I want to ask questions about my task. Below are the description. Thank you in advance.

    Kind regards,
    Kirman.


    The aim of this task is to create a dice game in a casino and model this using
    probability. It is important to examine how best to run the game from both the
    perspective of a player and the casino. In doing so analyse the game to consider the
    optimal payments by the player and payouts by the casino.
    
    1. Consider a game with two players, Ann and Bob. Ann has a red die and Bob a white die. They roll their dice and note the number on the upper face. Ann wins if her score is higher than Bobís (note that Bob wins if the scores are the same). If both players roll their dice once each what is the probability that Ann will win the game?
    
    2. Now consider the same game where Ann can roll her die a second time and will note the higher score of the two rolls but Bob rolls only once. In this case what is the probability that Ann will win?
    
    3. Investigate the game when both players can roll their dice twice, and also when both players can 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 die. Find a model for a game so that the casino makes a reasonable profit in the case where the player rolls the red die once and the bank rolls the white die once. (When creating your model you will need to consider how much a player must pay to play a game and how much the bank will pay out if the player wins. Do this from the perspective of both the player and the casino and consider carefully the criteria for whether the game can be considered worthwhile for both the player and the casino.)

    4. Now consider other models for the game including cases such as where the player or the bank rolls their dice multiple times, or where multiple players are involved in the game.

  2. #2
    Beep
    Points: 60,902, Level: 100
    Level completed: 0%, Points required for next Level: 0
    Awards:
    Discussion EnderPosting AwardCommunity AwardMaster TaggerFrequent Poster
    Dason's Avatar
    Location
    Ames, IA
    Posts
    11,035
    Thanks
    259
    Thanked 2,132 Times in 1,814 Posts

    Re: The Dice Game

    Hi! We are glad that you posted here! This looks like a homework question though. Our homework help policy can be found here. We mainly just want to see what you have tried so far and that you have put some effort into the problem. I would also suggest checking out this thread for some guidelines on smart posting behavior that can help you get answers that are better much more quickly.
    Morte a tutti i raptors
    001100010010011110100001101101110011

  3. #3
    Points: 347, Level: 6
    Level completed: 94%, Points required for next Level: 3

    Posts
    2
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Re: The Dice Game

    Hi Dason,

    So far, for point number 1, the probability of Ann winning is 15/36 and Bob is 6/36. But for point number 2, 3 and 4, I'm clueless. Can you help me with it? Thank you.

  4. #4
    Beep
    Points: 60,902, Level: 100
    Level completed: 0%, Points required for next Level: 0
    Awards:
    Discussion EnderPosting AwardCommunity AwardMaster TaggerFrequent Poster
    Dason's Avatar
    Location
    Ames, IA
    Posts
    11,035
    Thanks
    259
    Thanked 2,132 Times in 1,814 Posts

    Re: The Dice Game


    Quote Originally Posted by kirman View Post
    Hi Dason,

    So far, for point number 1, the probability of Ann winning is 15/36 and Bob is 6/36. But for point number 2, 3 and 4, I'm clueless. Can you help me with it? Thank you.
    Maybe you spend a little more time on question 1. Note that somebody has to win the game and only Ann and Bob are playing so that should tell us that the probability that Ann wins and the probability that Bob wins should sum to 1. Also note that Ann wins if her die is higher than Bob's die, Bob win if his die is higher than Ann's die, and Bob wins in the event of a tie - we should clearly see that Bob's probability of winning should be higher than Ann's.
    Morte a tutti i raptors
    001100010010011110100001101101110011

+ Reply to Thread

           




Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts






Advertise on Talk Stats