Monty Hall Paradox

Saturday, 12 February 2011 02:21

//Demonstrates the Monty Hall Paradox and theory of probability. (Just some random thing I wanted to do for fun...I assume everything is correct since I got a 2 to 1 ratio?)



import java.util.ArrayList;

import java.util.Collections;

import java.util.Random;



/** 

 * @author JT Newsome

 */

public class MontyHallTester {

	public static int forMonty = 0;

	public static int againstMonty = 0;

	public static int min = 0;

	public static int max = 2;

	public static int timesToLoop = 1000000;



	public static void main(String[] args) {

		for(int i = 0; i < timesToLoop; i++){

			montyTest();

		}

		System.out.println("forMonty: "+forMonty);

		System.out.println("againstMonty: "+againstMonty);

		System.out.println("Ratio: "+ (forMonty/againstMonty));

	}



	public static void montyTest(){

		ArrayList boxes = new ArrayList();

		boxes.add(0);

		boxes.add(1);

		boxes.add(2);

		Collections.shuffle(boxes);

		Random rand = new Random();

		int randomNum1 = rand.nextInt(max - min + 1) + min;

		if (boxes.get(randomNum1) == 2){

			againstMonty++;

		}

		else forMonty++;

	}



}