For this assignment, you will utilize an existing class and implement a new class for simulating a game of roulette. Using these classes and a third provided class, you will perform repeated simulations of your roulette game and study the effectiveness of various betting strategies. In doing so, you will experience the power of software models in studying the behavior of real-world systems.
The RouletteWheel class models an American-style roulette wheel, with slots numbered 1 through 36 and two additional slots, numbered 0 and 00. This class has a method for generating a random spin, and another method for determining the color of a number on the wheel. Note that the implementation of this class utilizes the Die class that was discussed in lectures.
RouletteWheelclass, you are to implement a class named
RouletteGamethat enables the user to play a game of roulette, placing bets either on a particular number or on a color. A RouletteGame javadoc file is provided for you to define the methods of this class and their precise behavior. Implement this class so that it meets the specifications in the javadoc file. Be sure to test your implementation carefully.
RouletteGameclass behaves as specified, download the RouletteTester class and add it to your project. This class contains a method for performing repeated roulette game simulations, ending each game when the player either doubles her initial bankroll or goes broke. The
playRepeatedGamesmethod takes four parameters: the number of games to simulate, the initial bankroll, the amount for each bet, and a string specifying whether bets should be placed on a number or a color. The method simulates the specified number of games and returns the percentage of those games that were wins (i.e., the player doubled her bankroll).
Use this class to simulate repeated games and answer the following questions. Be sure to explain how you obtained your answers, listing actual simulation results that you obtained.
playRepeatedGames method so that it simulates the Martingale betting strategy.
That is, each game should begin with a bet amount of 1. After a loss, the bet
amount should double. After a win, he should go back to the original bet amount.
Experiment with your modified method to answer the following questions. Again, be sure to explain how you
obtained your answers, listing actual simulation results that you obtained.