Is it better to change door at the Monty Hall problem?

MontyHall.cs

using System;

namespace MontyHall {
  internal class Program {
    private static void Main() {
      var rnd = new Random();
      bool[] doors = { false, false, false };
      const int iterations = 10000000;
      var counter = 0;
      var winsOnChange = 0;
      var winsOnStaying = 0;
      while(counter < iterations) {
        doors[0] = false;
        doors[1] = false;
        doors[2] = false;
        doors[rnd.Next( 1, 4 ) - 1] = true;
        if(doors[rnd.Next( 1, 4 ) - 1]) {
          winsOnStaying++;
        }
        counter++;
      }
      counter = 0;
      while(counter < iterations) {
        doors[0] = false;
        doors[1] = false;
        doors[2] = false;
        doors[rnd.Next( 1, 4 ) - 1] = true;
        if(!doors[rnd.Next( 1, 4 ) - 1]) {
          winsOnChange++;
        }
        counter++;
      }
      Console.WriteLine( "Change door: \t" + winsOnChange + " / " + iterations );
      Console.WriteLine( "Same door: \t" + winsOnStaying + " / " + iterations );
      Console.ReadKey();
    }
  }
}