In the game of craps, a pass line bet proceeds as follows. Two six-sided die are
ID: 3713231 • Letter: I
Question
In the game of craps, a pass line bet proceeds as follows. Two six-sided die are rolled: the first roll of the dice in a craps round is called the “come out roll.” A come out roll of 7 or 11 automatically wins, and a come out roll of 2, 3, or 12 automatically loses. If 4, 5, 6, 8, 9, or 10 is rolled on the come out roll that number becomes “the point.” The player keeps rolling the dice until either 7 or the point is rolled. If the point is rolled first, then the player wins the bet. If a 7 is rolled first, then the player loses.
Write a program that simulates a game of craps using these rules without human input. Instead of asking for a wage, the program should calculate whether the player would win or lose. The program should simulate rolling two dice and calculate the sum. Add a loop so that the program plays 10,000 games. Add counters that count how many times the player wins and how many times the player loses. At the end of the 10,000 games, compute the probability of winning (wins/ (wins + losses)) and output this value.
Note: to simulate the dice rolling use the Random class to generate numbers between 1 and 6 inclusive.
Here is an example series:
The shooter throws the dice on a come out roll, which starts a new series, and a 5 is rolled. (Recall that rolling a 7 or 11 would have been winners and 2, 3, or 12 would have been losers.)
The shooter has established a point of 5.
The shooter throws the dice again and rolls an 8.
Nothing happens and player rolls the dice again.
The shooter throws the dice again and rolls a 3. (Note that rolling a 2, 3, 11, or 12 after a point is established means nothing)
The shooter throws the dice again and rolls a 5.
This is the shooter's point so this is a win and the series ends.
Your program should:
Declare the variables numOfWins and numOfLoss to keep track of the number of times player wins or loses.
Add a loop to your program so that the game is played 10,000 times.
Add another loop so the player can start a new set of games.
Declare a constant for the number of games being played. (10,000)
Simulate rolling the two dice and calculate the sum. This first roll will establish the comeOutRoll. (use the Random class to generate random numbers for the dice)
Pass this first comeOutRoll to a method called winOrLose. This method will return a string. If it returns:
“seven” means a loss. therefore the variable numOfLoss must be incremented in the main method
“the point” means a win. Therefore, the variable numOfWin must be incremented in the main method.
“win”: means a win. Then the variable numOfWins must be incremented in the main method.
“loss”: means a loss then the variable numOfLoss must be incremented in the main method.
“The Point”: means a point has been established. Therefore set the variable thePoint to the comeOutRoll. Then the method keepRolling must be called to roll the dice until a 7 or “the point” is rolled. This method will return a string:
At the end of the 10,000 games, call the method winProbability to compute the probability of winning (wins/wins + losses)
Output the value returned
Ask the user if she/he wants to start a new game.
Output a good by message if the user does not want to play again.
List of the methods for the Craps game
1. main method: Has only one line of code which is a call to the method play
2. play method
winOrLoss method: in this method you can only have one return statement.
description method: outputs the description of the game
keepRolling method : you must only use one return statement.
winProability method :
Sample Output
Explanation / Answer
//constants
static int numOfGames = 1000;
static int minRoll = 1;
static int maxRoll = 6;
public static void main(String[] args)
{
play();
description();
}
//2. play method
public static void play()
{
int numOfwin = 0;
int numOfLoss = 0;
int thePoint = 0;
int comeOutRoll = 0;
int numOfPlays = 0;
boolean playagain = true;
Random rnd = new Random();
Scanner s = new Scanner(System.in);
while(playAgain)
{
for (int i =0; i< numOfGames; i++)
{
comeOutRoll = minRoll + rnd.nextInt(maxRoll);
comeOutRoll += minRoll + rnd.nextInt(maxRoll);
if(winOrLoss(comeOutRoll).equals("win")) {
numOfWins++;
continue;
}
if(winOrLoss(comeOutRoll).equals("Loss")) {
numOfLoss++;
continue;
}
String rollOut = keepRolling();
if(rollOut.equals("seven")) {
numOfLoss++;
continue;
}
numOfWins++;
}
double winProb = winProability(numOfWins, numOfLoss);
System.out.println("In the simulation we :");
System.out.println(" won " + numOfWins + " times");
System.out.println(" lost " + numOfLoss + " times");
System.out.println(" for a probability of " + winProb);
System.out.println("Hit enter key to continue");
numOfwin = 0;
numOfLoss = 0;
thePoint = 0;
comeOutRoll = 0;
numOfPlays = 0;
System.out.println("Would you like to play another game yes/no?");
String decision = s.next();
playAgain = decision.equals("yes");
}
}
//winOrLoss method
public static String winOrLoss(int comeOutRoll)
{
if(comeOutRoll == 7 || comeOutRoll == 11) {
return "win";
}
if(comeOutRoll == 2 || comeOutRoll == 3 || comeOutRoll == 12) {
return "Loss";
}
return "the point";
}
description method: outputs the description of the game
public static void description()
{
System.out.println("Computer will play a craps game for you. Here are the rules of the game:");
System.out.println(" Two six sided dice is rolled");
System.out.println(" Come out roll: The first roll of the dice in a craps round");
System.out.println("A come out roll of 7 or 11 automatically wins");
System.out.println("A come out roll of 2, 3, or 12 automatically losses");
System.out.println("A come out roll of 4, 5, 6, 8, 9, or 10 becomes The Point If the player gets the point he/she will keep playing by rolling the dice until he/she gets a 7 or the point.");
System.out.println("If the point is rolled first, then the player wins the bet.");
System.out.println("If a 7 is rolled first, then the player loses.");
System.out.println(" ");
System.out.println("Let’s start playing");
}
//keepRolling method : you must only use one return statement.
public static String keepRolling(int thePoint, Random rnd)
{
int rollOut = minRoll + rnd.nextInt(maxRoll);
if(rollOut == 7) {
return "seven";
}
if(rollOut == thePoint) {
return "thePoint";
}
return keepRolling(thePoint, rnd);
}
//winProability method :
public static double winProability(int wins, int losses)
{
return (wins * 1.0)/(wins + losses);
}
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