Monty Hall problem simulator v2

/*
 * Monty Hall problem simulator v2
 *
 * Compile with g++:
 * $ g++ montyhall.cc -o montyhall
 */

#include <iostream>
#include <stdlib.h>
#include <time.h>

using namespace std;

void PrintDoors(int car, int chosenDoor, bool*opened);

int main()
{
  srand((unsigned)time(NULL));

  unsigned int wins=0, winsSwitch=0, numSwitches=0;

  for(unsigned int game=1;;++game) {
    int car = rand()%3;
    bool opened[3] = {0,0,0};
    int chosenDoor, chooseSwitch;

    cout << "Game " << game << endl << "---------" << endl;

    //Contestant chooses initial door
    PrintDoors(car, -1, opened);

    do {
      cout << "Choose a door (1,2,3): ";
      cin >> chosenDoor ;
    } while(chosenDoor<1 || chosenDoor>3);
    --chosenDoor;

    //Monty opens door
    if(chosenDoor==car)
      opened[ (car + rand()%2 + 1) % 3 ] = 1;
    else if((chosenDoor+1)%3 != car)
      opened[ (chosenDoor+1)%3 ] = 1;
    else
      opened[ (chosenDoor+2)%3 ] = 1;

    cout << endl;
    PrintDoors(car, chosenDoor, opened);

    //Record result for switching
    if(chosenDoor != car)
      ++winsSwitch;

    //Contestant chooses to switch or stick
    do {
      cout << "Stick (0) or switch (1)?: ";
      cin >> chooseSwitch;
    } while(chooseSwitch<0 || chooseSwitch>1);

    if(chooseSwitch==1) {
      if(!opened[(chosenDoor+1)%3])
        chosenDoor = (chosenDoor+1)%3;
      else
        chosenDoor = (chosenDoor+2)%3;

      ++numSwitches;
    }

    //Find game result
    opened[0] = opened[1] = opened[2] = 1;
    cout << endl;
    PrintDoors(car, chosenDoor, opened);
    cout << endl;

    if(chosenDoor==car) {
      cout << "*** You win the car! ***" << endl << endl;
      ++wins;
    } else
      cout << "*** You win a goat. ***" << endl << endl;

    cout << "In " << game << " game" << (game==1?"":"s") << ", with "
         << (game-numSwitches) << " stick" << (game-numSwitches==1?"":"s") << " and " << numSwitches << " switch" << (numSwitches==1?"":"es")
         << ", you won " << wins << " cars " " => "
         << 100*static_cast<float>(wins)/game << "% success" << endl;

    cout << "By sticking every time, you would have won " << game - winsSwitch << " car" << (game-winsSwitch==1?"":"s") << " => " << 100*static_cast<float>(game - winsSwitch)/game << "% success" << endl;
    cout << "By switching every time, you would have won " << winsSwitch << " car" << (winsSwitch==1?"":"s") << " => " << 100*static_cast<float>(winsSwitch)/game << "% success" << endl << endl;
  }

  return 0;
}

void PrintDoors(int car, int chosenDoor, bool*opened)
{
  for(int door=0; door<3; ++door) {
    cout << door+1;

    if(door == chosenDoor)
      cout << "*";
    else
      cout << " ";

    if(!opened[door])
      cout << "[x]";
    else if(car!=door)
      cout << "[Goat]";
    else
      cout << "[Car]";

    cout << "     ";
  }

  cout << endl;
}