using System;
using System.Collections;

namespace ConsoleApplication1
{
	/// <summary>
	/// Showing the stats for the Monty Hall problem.
	/// </summary>
	class MontyHall
	{
		/// <summary>
		/// The main entry point for the application.
		/// </summary>
		[STAThread]
		static void Main(string[] args)
		{
			int games = (args.Length > 0 ? Convert.ToInt32(args[0]) : 10000);
			Random r = new Random();

			int correctWhenStick = 0;
			int correctWhenChange = 0;
			
			for (int i = 0; i < games; i++) 
			{
				int rightAnswer = r.Next(3);
				int initialGuess = r.Next(3);

				if (initialGuess != rightAnswer) 
				{
					// your initial guess is wrong
					// the other booby prize door is open
					// so to change is to get the prize.
					correctWhenChange++;	
				} 
				else if (initialGuess == rightAnswer) 
				{
					// you got the prize right first time.
					// so to stick is to get the prize.
					correctWhenStick++;
				}
			}
			Console.WriteLine("Over " + games + " games, changing wins " + correctWhenChange + " times  and sticking wins " + correctWhenStick + " times.");
		}
	}
}