Monty Hall problem simulator

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

using namespace std;

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

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

  unsigned int wins=0, winsStick=0, winsSwitch=0;
  for(unsigned int game=1;; ++game) {
    unsigned int car = rand()%3;
    bool opened[3] = {0,0,0};
    unsigned int chosenDoor=10, switchDoor, chooseSwitch=10;

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

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

    while(chosenDoor<1 || chosenDoor>3) {
      cout << "Choose a door (1,2,3): ";
      cin >> chosenDoor ;
    }
    --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 if((car+1)%3 != chosenDoor)
      opened[ (car+1)%3 ] = 1;

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

    //Record result for switching
    switchDoor = (chosenDoor+1)%3;
    if(opened[switchDoor])
      switchDoor = (switchDoor+1)%3;

    if(switchDoor==car)
      ++winsSwitch;

    //Record result for sticking
    if(chosenDoor==car)
      ++winsStick;

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

    if(chooseSwitch==1)
      chosenDoor = switchDoor;

    //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 << "Won " << wins << " cars in " << game << " games, p=" << static_cast<float>(wins)/game << "" << endl;
    cout << "By sticking every time, you would have won " << winsStick<< " cars in " << game << " games, p=" << static_cast<float>(winsStick)/game << endl;
    cout << "By switching every time, you would have won " << winsSwitch << " cars in " << game << " games, p=" << static_cast<float>(winsSwitch)/game << endl << endl;
  }

  return 0;
}

void PrintDoors(unsigned int car, unsigned 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;
}