(Craps Game Modification) Modify the program of Fig. 5.10 to play 1000 games of craps. The program should keep track of the statistics and answer the following questions:

a) How many games are won on the 1st roll, 2nd roll, ..., 20th roll, and after the 20th roll?
b) How many games are lost on the 1st roll, 2nd roll, ..., 20th roll, and after the 20th roll?
c) What are the chances of winning at craps? [Note: You should discover that craps is one
of the fairest casino games. What do you suppose this means?]
d) What is the average length of a game of craps?
e) Do the chances of winning improve with the length of the game?

```
#include
#include
#include
#include
using namespace std;

int rollDice(); // function prototype

int main()
{
enum Outcome { CONTINUE, WIN, LOSE };
const int SIZE = 22;
const int ROLLS = 1000;
int gameStatus;
int sum;
int myPoint;
int roll;
int length = 0;
int wins[ SIZE ] = {};
int losses[ SIZE ] = {};
int winSum = 0;
int loseSum = 0;

srand( time( 0 ) );

// play 1000 times
for ( int i = 1; i <= ROLLS; i++ )
{
sum = rollDice();
roll = 1;

// test if game won or lost on first roll
switch ( sum )
{
case 7: case 11:
gameStatus = WIN;
break;
case 2: case 3: case 12:
gameStatus = LOSE;
break;
default:
gameStatus = CONTINUE;
myPoint = sum;
break;
} // end switch

// continue while game not won or lost
while ( gameStatus == CONTINUE )
{
sum = rollDice();
roll++;

if ( sum == myPoint )
gameStatus = WIN;
else if ( sum == 7 )
gameStatus = LOSE;
} // end while

// if more then 21 rolls taken, set number of rolls to 21
if ( roll > 21 )
roll = 21;

// determine how many rolls were taken and
// increment corresponding counter in either wins or losses array
if ( gameStatus == WIN )
{
wins[ roll ]++;
winSum++;
} // end if
else
{
losses[ roll ]++;
loseSum++;
} // end else
} // end for

cout << "Games won or lost after the 20th roll"
<< "\nare displayed as the 21st roll.\n\n";

// display number of games won and lost for each number of rolls
for ( int z = 1; z <= 21; ++z )
cout << setw( 3 ) << wins[ z ] << " games won and " << setw( 3 )
<< losses[ z ] << " games lost on roll " << z << '\n';

// calculate chances of winning
cout << fixed << showpoint << "\nThe chances of winning are " << winSum
<< " / " << winSum + loseSum << " = " << setprecision( 2 )
<< 100.0 * winSum / ( winSum + loseSum ) << "%\n";

// calculate and display average length of game
for ( int k = 1; k <= 21; k++ )
length += wins[ k ] * k + losses[ k ] * k;

cout << "The average game length is " << setprecision( 2 )
<< length / 1000.0 << " rolls." << endl;
} // end main
// function to simulate dice rolling
int rollDice()
{
int die1 = 1 + rand() % 6;
int die2 = 1 + rand() % 6;
return die1 + die2; // return total of two dice
} // end function rollDice
```