Monty Hall problem solution

[setia]

How about step by step mathematical solution of game Monty Hall if the program like this ? Please help me

#include <iostream>
#include <iomanip>
#include <cstdlib>
#include <ctime>
using namespace std;
int main() {
srand(time(0));
int counter = 1000;
int winCounter = 0;
int winFirstCounter = 0;
for (int i = 0; i < counter; ++i) {
int prizeDoor = (1 + rand() % 3);
int firstChoice = (1 + rand() % 3);
bool switchDoor = (rand() % 2)==0;
if (!switchDoor && (firstChoice == prizeDoor)) {
++winFirstCounter;
++winCounter;
} else if (switchDoor && (firstChoice != prizeDoor)) {
++winCounter;
}
}
cout << (counter - winCounter) << "\tGames lost" << endl;
cout << winCounter << "\tGames won total" << endl;
cout << winFirstCounter << "\tGames won without change" << endl;
int winWithChange = (winCounter - winFirstCounter);
cout << winWithChange << "\tGames won with change" << endl;
cout << winWithChange*100/winCounter << "\tPercent won after change" << endl;
cout << winFirstCounter*100/winCounter << "\tPercent won without change" << endl;
return 0;
}

[chicofeo]

Double post:

http://www.cplusplus.com/forum/general/190197/

http://www.cplusplus.com/forum/beginner/190140/