// Physics 5 code for March 10

#include <iostream>

#include <ctime>

#include <fstream>

#include <string>

#include <cstdlib>

using namespace std;

int main() {

      int count = 0;

      srand(int(time(NULL))); //cast time as an int to avoid warning

      ifstream inky("threeletterwords.txt"); //open for reading

      string rword = "AAA", word = "AAA"; //initialize as 3-letter words

      for(int j = 0; j < 10000; ++j) { // do ten thousand trials

         for(int i = 0; i < 3; i++) //create a random string

               rword[i] = (char)(rand()%26+65);

         inky.clear();  // clear the eof (end of file) state

         inky.seekg(0, ios::beg); // set inky’s get pointer to the start

         while(inky >> word) { // get next word while not at end of file

              if (word == rword) { // compare random word with file word

                  cout << rword << " ";

                        ++count;

                        break; // break out of while loop

              } // end if

         } // end while

      } // end for

      cout << "\nThe empirical probability of a random string "

           << "\nof three letters being an English word is "

           << (float)count/10000.;

      cin.get();

}

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The empirical probability of a random string
of three letters being an English word is 0.0555