Crap Game: Problem: In the game of craps, a pass line bet proceeds as follows. Two six sided dice 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 crap 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 out put this value. Note: to simulate the dice rolling use Random class to generate numbers between 1 and 6 inclusive or you can use the random method from the Math class. 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 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: o win: means a win. Then the variable numOfWins must be incremented in the main method. o loss: means a loss then the variable numOfLoss must be incremented in the main method. o 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: 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. At the end of the 10,000 games, call the method winProability 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 public static void main(String[] args) { play() description() } 2. method play: public static void play() { Declare your variables numOfwin, numOfLoss, thePoint, comeOutRoll, numOfPlays and set them to zero boolean playagain = true While (playAgain) { for (int i =0; i< 10,000; i++) { 1. Since you roll the dice two times you need to generate two random numbers between 1 and 6 inclusive and then add them up. This will be the value for the variable comeOutRoll 2. Call the method winOrLoss based on the returned value from this method: o increment the variable numOfWins o or increment the variable numOfLoss o or set the variable thePoint to comeOutRoll and then call the method keepRolling. Based on the value returned from this method adjust the value of numOfLoss and NumOfWin } call the method winProability output the return value from the method winProability reset all the variables ask the user if he/she wants to start another set of games } 3. winOrLoss method: in this method you can only have one return statement. public static String winOrLoss(int comeOutRoll) { // if comeOutroll is 7 or 11 return win //if comeOutRoll is 2, 3, or 12 return the string Loss //if comeOutRoll is 4, 5, 6,8, 9, or 10 return the stringthe point } 4. description method: outputs the description of the game public static void description() { //output the description } 5. KeepRolling method : you must only use one return statement. public static String(int thePoint) { //keep rolling the dice until you get thePoint or your get seven. //return the string seven if you get a seven //return the string thePoint if you get the point } 6. winProability method : public static double winProability(int wins, int losses) { //calculate the proability //return the value } Sample output: Computer will play a crap game for you. Here are the rules of the game: Two six sided dice is rolled Come out roll: The first roll of the dice in a craps round A come out roll of 7 or 11 automatically wins A come out roll of 2, 3, or 12 automatically losses A come out roll of 4, 5, 6, 8, 9, or 10 becomes ThePoint, if the player gets the point he/she will keep playing by rolling the dice until he/she gets a 7 or the point. If thePoint is rolled first , then the player wins the bet. If a 7 is rolled first, then the player loses. Sample output Lets start playing In the simulation we : won 4872 times lost 5128 times, for a probability of 0.4872 Would you like to paly another game yes/no? yes In the simulation we : won 9919 times lost 10081 times, for a probability of 0.4960 Would you like to paly another game yes/no? yes In the simulation we : won 14914 times lost 15086 times, probability of : 0.4971 Would you like to paly another game yes/no? yes In the simulation we : won 19866 times lost 20134 times, probability of : 0.4967 Would you like to paly another game yes/no? no Have a nice day. GoodBye