Question

Deal or No Deal
Assignment
Have you watched the gameshow Deal or No Deal? We are going to design a smaller version of it.
Parameters
•   We’ll have 25 differing dollar amounts from $1 to $1,000,000. (Let’s use 25, not 26; drop the 1 cent value in the original game values.) Each dollar amount is randomly placed in one of 25 briefcases, and none of the game players know the locations.
•   We’ll only implement 1 Round with 4 states:   
1.   Player makes guess of Prize briefcase
2.   Player opens N other briefcases
3.   Banker makes an offer to buy back Prize briefcase
4.   Player responds – and wins or looses   
Board Presentation
Show the 25 briefcases as a 5x5 grid. (You can hardcode the 25 and 5x5 – these parameters don’t change.) Each cell of the grid represents a briefcase. The contents of the cell can display 1 of 2 things: either a closed briefcase or an opened briefcase. If closed, then just show the briefcase number; if opened then display the dollar amount inside.   

Also show the remaining Cash Values still in play. I used a 2-row table where the values opened have a grey background. The other values are in the closed briefcases and one is the Prize Briefcase.
  
      
Rules of Play
There are 2 participants: The Player and The Banker. The Player wants to make as much money as possible, and The Banker wants to keep as much money as possible.
We’ll only do 1 Round. So, we’ll have 4 steps or 4 States to our game.
1.   Initialize: This is the setup for the board and initializing the State Variables (hiddens).
2.   Prize Briefcase selection: The player first picks their prize briefcase. In the picture above, the player selected Case #17. That selection must be stored in a State Variable for the entire game – so the game can “remember” it. (The dollar amount contents of the Prize Briefcase is not displayed, of course, so keep the case “closed.”)
3.   Open N other briefcases: Now the player picks N other briefcases to open. For our miniature game with only one round, N=6. After the user selects 6 briefcases, they are opened and the dollar contents displayed to everyone.
4.   Accept or reject The Offer from the Banker: The game pauses. The Banker now makes an offer by buy back the Prize Briefcase from the player –with unknown contents to all. The Banker doesn’t know contents of the Prize Briefcase but doesn’t want it to be big. So, the Banker offers a price somewhere in the middle of the range of the remaining dollar amounts.   

The Player can accept or reject the offer from The Banker. In our game, either way, this is the end of the game. In the real game, if the offer is not selected, then the next round continues with N=N-1 briefcases opened until there is only 2 left.   
State Variables
I had 3 State Variables.
•   $state – this is an integer. It goes from 0 to 3.
•   $caseCash – this is a 1-D array of length 25. Each cell is a briefcase. The value of the array is the cash in the briefcase.
•   $caseState – this is also a 1-D array of length 25. Each cell is a briefcase. The value is a string representing the status of the briefcase. There are 3 options: closed, opened, or the 1 Prize Briefcase. In my game:
o   A dot ‘.’means the briefcase is closed. o An ‘o’ means that the briefcase is opened.
o   The string ‘prize’ means that The Player has selected that briefcase for their prize at the end.

The Banker
The job of The Banker is to “save” money. He knows The Player will get the cash in the Prize Briefcase. The Banker’s job is to “buy” the Briefcase back from The Player, hopefully for less money than is in the Prize Briefcase. Neither party know the contents of the Prize Briefcase, so both parties are gambling.
A very simple algorithm for The Banker is simply to take the average() of all the unopened, remaining briefcases. The Average will be right in the middle. That makes it a 50% chance that The Banker does better and a 50% chance that The Player does better. You are free to make The Offer using any function you want. Have fun.   

Answer 1

OUTPUT