100,000 Simulations

import java.util.Random;

public class Main {

    public static class Reward {
        String name;
        int amount;

        public Reward(String rewardName, int rewardAmount) {
            name = rewardName;
            amount = rewardAmount;
        }

        public void printReward() {
            System.out.println(amount + " " + name);
        }
    }

    public static void main(String[] args) {
        // write your code here
        int numStars = 0;
        int numDice = 78;
        boolean karma = false;
        int luckyDice = 0;
        int[] results = new int[100000];

        Reward one = new Reward("Spirit", 2000000);
        Reward two = new Reward("Promotion Stones", 1500);
        Reward three = new Reward("Magic Dust", 1000);
        Reward four = new Reward("Stars", 3);
        Reward five = new Reward("Dice", 1);
        Reward six = new Reward("3-star shards", 60);
        Reward seven = new Reward("Spirit", 2000000);
        Reward eight = new Reward("Monster Souls", 1500);
        Reward nine = new Reward("Magic Dust", 500);
        Reward ten = new Reward("Fortune Hut", 0);
        Reward eleven = new Reward("Stars", 3);
        Reward twelve = new Reward("Promotion Stones", 1500);
        Reward thirteen = new Reward("5-star shards", 30);
        Reward fourteen = new Reward("Spirit", 2000000);
        Reward fifteen = new Reward("Karma Hut", -1);
        Reward sixteen = new Reward("Magic Dust", 1500);
        Reward seventeen = new Reward("4-star shards", 30);
        Reward eighteen = new Reward("Stars", 3);
        Reward nineteen = new Reward("Chaos Stones", 200);
        Reward twenty = new Reward("Lucky Dice", 1);

        Reward[] Monopoly = new Reward[]{one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty};

        int position = 0;

        for (int a = 0; a < 100000; a++) {
            for (int i = 0; i < numDice; i++) {
                int nextMove = rollDie();
                if (karma && (nextMove%2 == 1)) {
                    position -= nextMove;
                } else if (luckyDice > 0 && ((19-position <= 6) && (19-position > 0))) {
                    int moves = 19-position;
                    for (int j = 0; j < moves; j++) {
                        position++;
                        if (Monopoly[position].name.equals("Stars")) {
                            numStars += Monopoly[position].amount;
                        }
                    }
                } else {
                    for (int j = 0; j < nextMove; j++) {
                        position++;
                        if (position > 19) {
                            position %= 20;
                        }
                        if (Monopoly[position].name.equals("Stars")) {
                            numStars += Monopoly[position].amount;
                        }
                    }
                }
                if (Monopoly[position].name.equals("Stars")) {
                    if (Monopoly[position].amount < 5) {
                        Monopoly[position].amount++;
                    }
                }
                if (Monopoly[position].name.equals("Dice")) {
                    numDice++;
                }
                if (Monopoly[position].amount == -1) {
                    karma = true;
                } else {
                    karma = false;
                }
                if (Monopoly[position].name.equals("Lucky Dice")) {
                    luckyDice++;
                }
            }
            if (luckyDice > 0) {
                for (int j = 0; j < 6; j++) {
                    position++;
                    if (position > 19) {
                        position %= 20;
                    }
                    if (Monopoly[position].name.equals("Stars")) {
                        numStars += Monopoly[position].amount;
                    }
                }
            }
            results[a] = numStars;
            numStars = 0;
            position = 0;
            numDice = 78;
            karma = false;
            Monopoly[3].amount = 3;
            Monopoly[10].amount = 3;
            Monopoly[18].amount = 3;
        }
        for (int i = 0; i < results.length; i++) {
            System.out.println(results[i]);
        }
        System.out.println("\nAverage: " + mean(results) + " stars");
        System.out.println("Maximum: " + max(results) + " stars");
        System.out.println("Minimum: " + min(results) + " stars");
        System.out.println("Range: " + range(results) + " stars");
    }

    public static double mean(int[] numbers) {
        double sum = 0;
        for (int number : numbers) {
            sum += number;
        }
        return sum/((double)numbers.length);
    }

    public static int max(int[] numbers) {
        int max = numbers[0];
        for (int i = 1; i < numbers.length; i++) {
            if (numbers[i] > max) {
                max = numbers[i];
            }
        }
        return max;
    }

    public static int min(int[] numbers) {
        int min = numbers[0];
        for (int i = 1; i < numbers.length; i++) {
            if (numbers[i] < min) {
                min = numbers[i];
            }
        }
        return min;
    }

    public static int range(int[] numbers) {
        return max(numbers) - min(numbers);
    }

    public static int rollDie() {
        Random random = new Random();
        return random.nextInt(6)+1;
    }
}