Calculating chances in the game of Risk

Risk.java

import java.util.Arrays;

public class Risk {

    public static void main(String[] args) {
        long defenderLoosesTwo = 0;
        long eachLoosesOne = 0;
        long attackerLoosesTwo = 0;

        int[] attackerDices = new int[3];
        int[] defenderDices = new int[2];

        for (int firstAttackerDice = 1; firstAttackerDice < 6; firstAttackerDice++) {
            for (int secondAttackerDice = 1; secondAttackerDice < 6; secondAttackerDice++) {
                for (int thirdAttackerDice = 1; thirdAttackerDice < 6; thirdAttackerDice++) {
                    for (int firstDefenderDice = 1; firstDefenderDice < 6; firstDefenderDice++) {
                        for (int secondDefenderDice = 1; secondDefenderDice < 6; secondDefenderDice++) {
                            attackerDices[0] = firstAttackerDice;
                            attackerDices[1] = secondAttackerDice;
                            attackerDices[2] = thirdAttackerDice;
                            defenderDices[0] = firstDefenderDice;
                            defenderDices[1] = secondDefenderDice;

                            Arrays.sort(attackerDices);
                            Arrays.sort(defenderDices);

                            int numDefenderLosses = 0;
                            if (attackerDices[2] > defenderDices[1]) numDefenderLosses++;
                            if (attackerDices[1] > defenderDices[0]) numDefenderLosses++;

                            if (numDefenderLosses == 2) defenderLoosesTwo++;
                            else if (numDefenderLosses == 1) eachLoosesOne++;
                            else if (numDefenderLosses == 0) attackerLoosesTwo++;
                        }
                    }
                }
            }
        }

        double countTotalPossibilities = defenderLoosesTwo + eachLoosesOne + attackerLoosesTwo;

        double percentageDefenderLoosesTwo = 100 * defenderLoosesTwo / countTotalPossibilities;
        double percentageEachLoosesOne = 100 * eachLoosesOne / countTotalPossibilities;
        double percentageAttackerLoosesTwo = 100 * attackerLoosesTwo / countTotalPossibilities;

        System.out.println("Defender looses two: " + percentageDefenderLoosesTwo);
        System.out.println("Each looses one:     " + percentageEachLoosesOne);
        System.out.println("Attacker looses two: " + percentageAttackerLoosesTwo);
    }

}