Problem: Monty Hall problem
     LAB12 Write a Java program to let user play the Monty Hall game.
 
Purpose:
   To master the Java GUI with an interest game of probability.
Due: 2011/05/22 Sunday 23:59   
   請注意: 做好習題請到數位學習網站本題討論區依照規定貼文寫心得報告, 
   且標題 Subject: LAB12 from 學號姓名(當然是你學號與姓名!)
   報告內容是心得、然後 Running Script、再接著帶Line numbers程式碼
   方便助教評分, 並把所有資料壓縮成可執行的 .jar 檔案當夾檔附件佐證!

Note: 
    You should also write what you have learned from this Lab.
      即使只寫好屍體也必須在 Due (5/22)之前先貼一版本; 且必須先寫研讀心得!
       之後再補上修改好的程式與完整心得!  
    Last version due 2011/05/29; 這題在該日之後再繳都不算分數!!
    注意 5/22之前沒有貼第一版的就不必繳了! 
    因為若不先在 5/22之前寫研讀心得, 之後繳了也不算!
    還有, 注意沒寫心得或是沒有帶著 Line numbers 程式者也都不算!
    會被刪除!  (請自己注意備份)   
Description: 
    Switch or NOT? This is a conditional probility problem.
    The Monty Hall problem is a probability puzzle based on the American
    television game show Let's Make a Deal. The name comes from the
    show's host, Monty Hall.
    The problem is also called the Monty Hall paradox.

Requirements and hints: 
  (0) More about GUI: 

     http://j2se.myweb.hinet.net/article/java/hw02.htm

  (1)The detail about the Monty Hall problem can be found in wikipedia:
    in English:

     http://en.wikipedia.org/wiki/Monty_Hall_problem

    in Chinese:

     http://zh.wikipedia.org/w/index.php?title=%E8%92%99%E6%8F%90%E9%9C%8D%E7%88%BE%E5%95%8F%E9%A1%8C&variant=zh-hant

  (2)Your Java program should be able to be run both as Java
     Application and as Java Applet.
  (3)The number of door should be configurable by user, range between
     3 doors to 7 doors. (Do this feature in first week.)
     A java.awt.List component contains choices is recommended.
  (4)If there are n doors (where n >= 3), then your program should
     open n-2 doors so that two doors left for the user to choose 
     after the user makes his first guess on every game.
  (5)Your voice and your photo should be used in this Lab. 
        (You can Do this feature in your 2nd version.)
  (6)Your program should also give statistics. 
  (7)Extra credits: 
     Can simulate playing n times and give statistics of the simulation.
     Where n and the demo speed are given by the user every time.
  (8)More links regarding the Monty Hall problem:

     http://math.ucsd.edu/~crypto/Monty/monty.html


     http://www.comedia.com/hot/monty.html


     http://www.userpages.de/monty_hall_problem/


     http://chrisc.freeshell.org/random/pages/montyhall.html


     http://www.letsmakeadeal.com/problem.htm


     http://www.cut-the-knot.org/hall.shtml

http://people.hofstra.edu/Steven_R_Costenoble/MontyHall/MontyHallSim.html



     http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html


     http://www.usna.edu/MathDept/.courses/pre97/sm230/MONTYHAL.HTM 


     http://www.nytimes.com/2008/04/08/science/08monty.html