public static class Main {
        public static void Run() {
            for (var i = 1; i <= 10; i++) {
                Debug.WriteLine(i + ": " + ErwartungswertMitHelm(i));
            }
        }
        private static double ErwartungswertMitHelm(int wuerfel) {
            return Sum(new int[wuerfel], 0) / Math.Pow(6L, wuerfel);
        }
        private static long Sum(int[] status, int pos) {
            if (pos < status.Length) {
                long sum = 0;
                for (var i = 1; i <= 6; i++) {
                    status[pos] = i;
                    sum += Sum(status, pos + 1);
                }
                return sum;
            } else {
                return status.GroupBy(s => s).Select(g => g.Key * g.Count()).Max();
            }
        }
    }