Game of Craps

Game of Craps
Write an application that runs 1,000,000 games of craps code in discussed in chapter 6 (also given in appendix 1 of this assignment file) and answers the following questions:
a) How many games are won on the first roll, second roll, …, twentieth roll and after the twentieth roll?
b) How many games are lost on the first roll, second roll, …, twentieth roll and after the twentieth 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?

Appendix 1 – Game of Craps Code
// Fig. 6.9: Craps.java
// Craps class simulates the dice game craps.
import java.util.Random;
public class Craps
{
// create random number generator for use in method rollDice
private Random randomNumbers = new Random();
// enumeration with constants that represent the game status
private enum Status { CONTINUE, WON, LOST };
// constants that represent common rolls of the dice
private final static int SNAKE_EYES = 2;
private final static int TREY = 3;
private final static int SEVEN = 7;
private final static int YO_LEVEN = 11;
private final static int BOX_CARS = 12;
// plays one game of craps
public void play()
{
int myPoint = 0; // point if no win or loss on first roll
Status gameStatus; // can contain CONTINUE, WON or LOST
int sumOfDice = rollDice(); // first roll of the dice
// determine game status and point based on first roll
switch ( sumOfDice )
{
case SEVEN: // win with 7 on first roll
case YO_LEVEN: // win with 11 on first roll
gameStatus = Status.WON;
break;
case SNAKE_EYES: // lose with 2 on first roll
case TREY: // lose with 3 on first roll
case BOX_CARS: // lose with 12 on first roll
gameStatus = Status.LOST;
break;
default: // did not win or lose, so remember point
gameStatus = Status.CONTINUE; // game is not over
myPoint = sumOfDice; // remember the point
System.out.printf( “Point is %d\n”, myPoint );
break; // optional at end of switch
} // end switch
// while game is not complete
while ( gameStatus == Status.CONTINUE ) // not WON or LOST
{
sumOfDice = rollDice(); // roll dice again
// determine game status
if ( sumOfDice == myPoint ) // win by making point
gameStatus = Status.WON;
else
if ( sumOfDice == SEVEN ) // lose by rolling 7 before point
gameStatus = Status.LOST;
} // end while
// display won or lost message
if ( gameStatus == Status.WON )
System.out.println( “Player wins” );
else
System.out.println( “Player loses” );
} // end method play
// roll dice, calculate sum and display results
public int rollDice()
{
// pick random die values
int die1 = 1 + randomNumbers.nextInt( 6 ); // first die roll
int die2 = 1 + randomNumbers.nextInt( 6 ); // second die roll
int sum = die1 + die2; // sum of die values
// display results of this roll
System.out.printf( “Player rolled %d + %d = %d\n”,
die1, die2, sum );
return sum; // return sum of dice
} // end method rollDice
} // end class Craps

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