In the game, a passline 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, with double winnings.
• 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 with even money. If a 7 is rolled first, then the player loses.

Write a program that simulates a game of craps using these rules.

• The player starts out with a given amount of money.
• The program asks the player for a wager, and then calculates whether the player would win or lose.
• The program should simulate rolling the two dice and calculate the sum.
• Add a loop so that the program keeps playing until either (1) the player decides to quit and "cash in", or (2) the player runs out of money.
• Add counters that count how many times the player wins, and how many times the player loses. At the end of the game, compute the probability of winning [ i.e., Wins / (Wins + Losses)] and output this value to the user as well.

Notes

Your program must implement and use calls to the following methods:

• static int rollDice() Simulates rolling a pair of dice; returns an integer in the range {2, ..., 12}
• static boolean rollWithPoint(int point) Simulates rolling the dice until either the player wins (true is returned) or loses (false is returned)

Assignment Grading:

• Documentation/comments: 20 points
• Program: 80 points

What Do I Hand In?

Once you are done, upload your program's source code file (i.e., .txt file).

Sample Output (user input shown in red)

Welcome to the game:

The house has given you a starting balance of $500 On each round, you make a (whole number) wager. The minimum wager is $10, and the maximum wager is your remaining balance. You make keep playing until you decide to cash in, or you can't cover the minimum wager. Good Luck! Your balance is $500 Place your bet: $100 Your roll: d1: last roll: 2; d2: last roll: 3; roll value = 5 Your point value is 5 Your roll: d1: last roll: 1; d2: last roll: 4; roll value = 5 A winner! Your current balance: $600 Keep playing (y/Y or n/N)? y Your balance is $600 Place your bet: $100 Your roll: d1: last roll: 1; d2: last roll: 6; roll value = 7 A winner! Your current balance: $800 Keep playing (y/Y or n/N)? y Your balance is $800 Place your bet: $100 Your roll: d1: last roll: 1; d2: last roll: 2; roll value = 3 Oh, I'm sorry, you lost. Your current balance: $700 Keep playing (y/Y or n/N)? y Your balance is $700 Place your bet: $100 Your roll: d1: last roll: 3; d2: last roll: 4; roll value = 7 A winner! Your current balance: $900 Keep playing (y/Y or n/N)? y Your balance is $900 Place your bet: $100 Your roll: d1: last roll: 3; d2: last roll: 6; roll value = 9 Your point value is 9 Your roll: d1: last roll: 4; d2: last roll: 5; roll value = 9 A winner! Your current balance: $1000 Keep playing (y/Y or n/N)? y Your balance is $1000 Place your bet: $100 Your roll: d1: last roll: 4; d2: last roll: 6; roll value = 10 Your point value is 10 Your roll: d1: last roll: 1; d2: last roll: 4; roll value = 5 Your roll: d1: last roll: 5; d2: last roll: 3; roll value = 8 Your roll: d1: last roll: 1; d2: last roll: 1; roll value = 2 Your roll: d1: last roll: 4; d2: last roll: 1; roll value = 5 Your roll: d1: last roll: 5; d2: last roll: 6; roll value = 11 Your roll: d1: last roll: 1; d2: last roll: 3; roll value = 4 Your roll: d1: last roll: 5; d2: last roll: 4; roll value = 9 Your roll: d1: last roll: 1; d2: last roll: 2; roll value = 3 Your roll: d1: last roll: 6; d2: last roll: 3; roll value = 9 Your roll: d1: last roll: 6; d2: last roll: 3; roll value = 9 Your roll: d1: last roll: 2; d2: last roll: 4; roll value = 6 Your roll: d1: last roll: 4; d2: last roll: 5; roll value = 9 Your roll: d1: last roll: 4; d2: last roll: 5; roll value = 9 Your roll: d1: last roll: 5; d2: last roll: 2; roll value = 7 Oh, I'm sorry, you lost. Your current balance: $900 Keep playing (y/Y or n/N)? y Your balance is $900 Place your bet: $100 Your roll: d1: last roll: 4; d2: last roll: 6; roll value = 10 Your point value is 10 Your roll: d1: last roll: 6; d2: last roll: 2; roll value = 8 Your roll: d1: last roll: 2; d2: last roll: 2; roll value = 4 Your roll: d1: last roll: 3; d2: last roll: 1; roll value = 4 Your roll: d1: last roll: 4; d2: last roll: 6; roll value = 10 A winner! Your current balance: $1000 Keep playing (y/Y or n/N)? y Your balance is $1000 Place your bet: $500 Your roll: d1: last roll: 6; d2: last roll: 4; roll value = 10 Your point value is 10 Your roll: d1: last roll: 6; d2: last roll: 1; roll value = 7 Oh, I'm sorry, you lost. Your current balance: $500 Keep playing (y/Y or n/N)? y Your balance is $500 Place your bet: $100 Your roll: d1: last roll: 3; d2: last roll: 5; roll value = 8 Your point value is 8 Your roll: d1: last roll: 1; d2: last roll: 1; roll value = 2 Your roll: d1: last roll: 1; d2: last roll: 6; roll value = 7 Oh, I'm sorry, you lost. Your current balance: $400 Keep playing (y/Y or n/N)? y Your balance is $400 Place your bet: $100 Your roll: d1: last roll: 3; d2: last roll: 2; roll value = 5 Your point value is 5 Your roll: d1: last roll: 2; d2: last roll: 6; roll value = 8 Your roll: d1: last roll: 3; d2: last roll: 3; roll value = 6 Your roll: d1: last roll: 1; d2: last roll: 1; roll value = 2 Your roll: d1: last roll: 5; d2: last roll: 3; roll value = 8 Your roll: d1: last roll: 6; d2: last roll: 4; roll value = 10 Your roll: d1: last roll: 5; d2: last roll: 5; roll value = 10 Your roll: d1: last roll: 4; d2: last roll: 4; roll value = 8 Your roll: d1: last roll: 4; d2: last roll: 6; roll value = 10 Your roll: d1: last roll: 1; d2: last roll: 1; roll value = 2 Your roll: d1: last roll: 3; d2: last roll: 2; roll value = 5 A winner! Your current balance: $500 Keep playing (y/Y or n/N)? y Your balance is $500 Place your bet: $0 I'm sorry, that's not a valid wager; please re-enter: $600 I'm sorry, that's not a valid wager; please re-enter: $500 Your roll: d1: last roll: 4; d2: last roll: 5; roll value = 9 Your point value is 9 Your roll: d1: last roll: 3; d2: last roll: 4; roll value = 7 Oh, I'm sorry, you lost. Your current balance: $0 Based on your play, the probability of winning is 54% Seems you lost your shirt; better luck next time. Have a nice day! Hope to see you soon!