//Alice wants to join her school's Probability Student Club. Membership dues are computed via one of two simple probabilistic games.
            //The first game: roll a die repeatedly. Stop rolling once you get a five followed by a six.Your number of rolls is the amount you pay, in dollars.
            //The second game: same, except that the stopping condition is a five followed by a five.
            //Which of the two games should Alice elect to play? Does it even matter? Write a program to simulate the two games and calculate their expected value.
            Random rand = new Random();

            //variables
            int previous = -1;
            int current;
            int counter = 0;
            bool condition = false;

            //five followed by six
            while (condition == false)
            {
                current = rand.Next(1, 7);
                counter++;
                if (previous == 5 && current == 6) { condition = true; Console.WriteLine("five followed by six cost=" + counter); }
                else { previous = current; }
            }

            //resetting variables
            previous = 0;
            current = 0;
            counter = 0;
            condition = false;

            //five followed by five
            while (condition == false)
            {
                current = rand.Next(1, 7);
                counter++;
                if (previous == 5 && current == 5) { condition = true; Console.WriteLine("five followed by five cost=" + counter); }
                else { previous = current; }
            }