-1-

class Program
    {
        static void Main(string[] args)
        {
            int[] dice_red = new int[] { 1, 2, 3, 4, 5, 6 };
            int[] dice_green = new int[] { 1, 2, 3, 4, 5, 6 };

            List<Tuple<int, int>> tuplesDistinguishable = new List<Tuple<int, int>>();

            // cartestian product

            for (int i = 0; i < 6; i++)
            {
                int redNumber = dice_red[i];
                for (int j = 0; j < 6; j++)
                {
                    int greenNumber = dice_green[j];
                    tuplesDistinguishable.Add(new Tuple<int, int>(redNumber, greenNumber));
                }
            }

            Console.WriteLine("RED|GREEN");
            foreach (var item in tuplesDistinguishable)
            {
                Console.WriteLine("(" + item.Item1 + ", " + item.Item2 + ")");
            }

            Console.WriteLine("----------------------------");

            List<Tuple<int, int>> tuplesNotDistinguishable = new List<Tuple<int, int>>();
            for (int i = 0; i < 6; i++)
            {
                int redNumber = dice_red[i];
                for (int j = i; j < 6; j++)
                {
                    int greenNumber = dice_green[j];
                    tuplesNotDistinguishable.Add(new Tuple<int, int>(redNumber, greenNumber));
                }
            }


            Console.WriteLine("RED|GREEN");
            foreach (var item in tuplesNotDistinguishable)
            {
                Console.WriteLine("(" + item.Item1 + ", " + item.Item2 + ")");
            }



            int amountGreaterThan8DISTINCT = tuplesDistinguishable.FindAll(p => p.Item1 + p.Item2 > 8).Count;
            int amountGreaterThan8NDISTINCT = tuplesNotDistinguishable.FindAll(p => p.Item1 + p.Item2 > 8).Count;

            Console.WriteLine(((double)amountGreaterThan8DISTINCT / (double)tuplesDistinguishable.Count)  + ", " + ((double)amountGreaterThan8NDISTINCT/(double)tuplesNotDistinguishable.Count));

            Console.Read();


        }