Снова про Монти Холла или статистика как коллективная интуиция

using System;

namespace MontyHallProblem
{
    class Doors
    {
        private readonly Random _hasPrizeRandom = new Random();
        private readonly Random _openedByMontyHallRandom = new Random();
        public int NumberOfDoorWhichHasPrize { get; private set; }
        public int NumberOfDoorWhichChosenByPlayer { get; set; }
        public int NumberOfDoorWhichOpenedByMontyHall { get; private set; }

        public void Init()
        {
            NumberOfDoorWhichHasPrize = _hasPrizeRandom.Next(1, 4); // 1 - 3
        }

        public void MontyHallOpens()
        {
            int randomShift = _openedByMontyHallRandom.Next(1, 3); // offset 1 or 2
            if (NumberOfDoorWhichHasPrize == NumberOfDoorWhichChosenByPlayer)
            {
                NumberOfDoorWhichOpenedByMontyHall = (NumberOfDoorWhichHasPrize + randomShift + 2) % 3 + 1;
                //1 2 3
                //2 2 1
                //3 2 2
                
                //1 1 2
                //2 1 3
                //3 1 1            
            }
            else
            {
                NumberOfDoorWhichOpenedByMontyHall = 6 - NumberOfDoorWhichHasPrize - NumberOfDoorWhichChosenByPlayer; // room 1+2+3 = 6
                //1 2 3 = 6
                //1 3 2

                //2 1 3
                //2 3 1
                
                //3 2 1
                //3 1 2 
            }
        }
    }

    class Player
    {
        private readonly Random _choiceRandom = new Random();
        private readonly Random _randomStickOrSwitch = new Random();

        int _countRandomStickOrSwitch;
        int _countRandomMustSwitch;
        int _countRandomMustNotSwitch;
        int _sumRandomStickOrSwitchWhenNoSwitch;
        int _sumRandomStickOrSwitchWhenYesSwitch;
        int _sumStick;
        int _sumSwitch;

        public void Choice(Doors doors)
        {
            doors.NumberOfDoorWhichChosenByPlayer = _choiceRandom.Next(1, 4);
        }

        public void CalculateRandomStickOrSwitch(Doors doors)
        {
            bool mustRandomSwitch = _randomStickOrSwitch.Next(0, 2) == 1; // 0 or 1

            _countRandomStickOrSwitch++;
            if (mustRandomSwitch)
            {
                _countRandomMustSwitch++;

                if (doors.NumberOfDoorWhichChosenByPlayer != doors.NumberOfDoorWhichHasPrize)
                {
                    _sumRandomStickOrSwitchWhenYesSwitch++;
                }
            }
            else
            {
                _countRandomMustNotSwitch++;

                if (doors.NumberOfDoorWhichChosenByPlayer == doors.NumberOfDoorWhichHasPrize)
                {
                    _sumRandomStickOrSwitchWhenNoSwitch++;
                }
            }
        }

        public void CalculateStick(Doors doors)
        {
            if (doors.NumberOfDoorWhichChosenByPlayer == doors.NumberOfDoorWhichHasPrize)
            {
                _sumStick++;
            }
        }

        public void CalculateSwitch(Doors doors)
        {
            if (doors.NumberOfDoorWhichChosenByPlayer != doors.NumberOfDoorWhichHasPrize)
            {
                _sumSwitch++;
            }
        }

        public void PrintResult()
        {
            Console.WriteLine($"циклов {_countRandomStickOrSwitch}");
            Console.WriteLine($"случайно переключился раз: {_countRandomMustSwitch}");
            Console.WriteLine($"случайно не переключился раз {_countRandomMustNotSwitch}");
            Console.WriteLine($"Удачных случайных переключений {_sumRandomStickOrSwitchWhenYesSwitch}");
            Console.WriteLine($"Удачных случайных не пеерключений {_sumRandomStickOrSwitchWhenNoSwitch}");
            Console.WriteLine($"Удачно настойчиво удержался от смены {_sumStick}");
            Console.WriteLine($"Удачно настойчиво менял дверь {_sumSwitch}");
        }
    }

    class Program
    {
        static void Main()
        {
            Player player = new Player();
            for (int i = 0; i < 1_000_000; i++)
            {
                Doors doors = new Doors();
                doors.Init();
                
                player.Choice(doors);
                doors.MontyHallOpens();

                player.CalculateRandomStickOrSwitch(doors);
                player.CalculateStick(doors);
                player.CalculateSwitch(doors);

                if (i % 100_000 == 0)
                {
                    Console.WriteLine(i);
                }
            }

            player.PrintResult();
        }
    }
}