using System;

public class Program

{

    public static void Main()

    {

        //create a pool

        int charactersInPool =8;

        string characters = "";

        char firstChar = 'a';

        for(int i = 0; i < charactersInPool; ++i)

        {

            characters += firstChar;

            firstChar++;

        }       

        char chosenCharacter = 'b';

        //decide on how long the test will run (deciding the accuracy)

        const double accuracy = 10000;

        double times = 100 * accuracy;

        //set up variables

        int timesSelected = 0;      

        Random rand = new Random();

        string pool;

        int index;

        char poolCharacter;

        //run pool selection

        for(int i = 0; i < times; ++i)

        {           

            pool = characters;

            bool gotCharacter = false;

            //do selection

            for(int j = 0; j < 3; ++j)

            {

                //choose a character from the pool

                index = rand.Next(pool.Length);

                poolCharacter = pool[index];

                //if that is our favoured character, yay, 

                if(poolCharacter == chosenCharacter)

                {                   

                    gotCharacter = true;

                }       

                //now remove the chosen character from the pool

                poolCharacter = pool[index];

                pool = pool.Replace(poolCharacter.ToString(), string.Empty);

                //debug

                //Console.WriteLine("Chosen Character " + poolCharacter);

                //Console.WriteLine(pool);

            }

            //increment if character was chosen in one of the three games

            if(gotCharacter)

            {

                timesSelected++;

            }

        }

        //How often was my character chosen aka what is the probility 

        double chance = timesSelected / times;

        Console.WriteLine(chance);

    }

}