Monty Hall problem: Difference between revisions

staticint voidswitchWins Main(string[]= args)0;

{int stayWins = 0;

Random gen = new Random();

for(int plays = 0; plays < 1000000; plays++ )

{

int[] doors = {0,0,0};//0 is a goat, 1 is a car

var winner = gen.Next(3);

doors[winner] = 1; //put a winner in a random door

int choice = gen.Next(3); //pick a door, any door

int shown; //the shown door

do

{

shown = gen.Next(3);

}

while while(doors[shown] == 1 || shown == choice); //don't show the winner or the choice

stayWins += doors[choice]; //if you won by staying, count it

//the switched (last remaining) door is (3 - choice - shown), because 0+1+2=3

switchWins += doors[3 - choice - shown];

}

System.Console.Out.Write("Switching wins " + switchWins + " times.");

System.Console.Out.Write("Staying wins " + stayWins + " times.");