3 Door Paradox Solution

public class HelloWorld{

     public static void main(String []args){
        int i = 0;
        int wins = 0;
        for (i = 0; i < 1000000; i++) {
            int winner = (int)Math.ceil(Math.random()*3.0); //Winning choice
            int choice = (int)Math.ceil(Math.random()*3); //Initial Pick
            int open = (int)Math.ceil(Math.random()*3); //Door to open
            while (choice == open || winner == open) { //Making sure the open door is not the winner and the picked door
                open = (int)Math.ceil(Math.random()*3);
            }
            int swap = 1;
            while (choice == swap || swap == open) { //Picks the remaining door`
                swap++;
            }
            if (swap == winner)
                wins++;

        }

        System.out.println(wins + " swaps won out of " + i + " trials for a win percentage of " + (double)wins/(double)i);
     }
}