Q1: Many games are played with dice, known as a die in the singular. A die is a six-sided cube whose sides are labeled with one to six dots. The side that faces up indicates the dies face value. Define a class Die that represents one n-sided die. The default value for n is 6. You should be able to roll the die and discover the value of its upper face. Thus, give the class the method roll, which returns a random integer ranging from 1 to n, and the method getFaceValue, which returns the current face value of the die. Note that a call to roll will return the same value as a subsequent call to getFaceValue. Demonstrate your class by creating several Die objects and rolling them. Often, games depend on the roll of two dice. Using your class Die, create a class TwoDice. An object of TwoDice represents two six-sided dice that are rolled together. Include at least the following methods: rollDice, getFaceValueDieOne, getFaceValueDieTwo, isMatchingPair, isSnakeEyes, toString, and getValueOfDice, which return the sum of the two upper faces. Demonstrate your class by creating a TwoDice object and rolling it several times.

Q2: Using two dice, we can play a simple game having the following rules: The game has two players. After deciding who throws the dice first, the players each roll both dice. The player rolling the highest total face value of the dice wins; if the two totals are equal, it is a draw. Two exceptional cases are possible: A pair of ones (snake eyes) loses, unless both players roll snake eyes, in which case the game is a draw. A matching pair (doubles) wins, unless both players roll doubles, in which case the highest score wins. Define the classes Die and TwoDice, as described in Q1. Then define a class DiceGame that uses an instance of TwoDice to play the dice game just described. One player should be the user of the program; the other player should be the computer. Include at least the following methods in DiceGame: giveDirections, play, and reportWinner. Write a program that contains a main method to control the game. It should create an instance of DiceGame, interact with the user to decide which player rolls first, and invoke methods of DiceGame as necessary.

Q3: Design and implement the class GeometricSequence that represents the geometric sequence a, a x r, a x r2 , a x r3 , a x r4 , a x r5 ,... The class should have the following private data fields: The first term, a, in the sequence The ratio r between successive terms in the sequence The value of the current term in the sequence The value of the exponent for the current term in the sequence Include a reasonable constructor, an accessor method for each data field, and a method toString. In addition, provide a mutator method for each of the following tasks: Replace the current term in the sequence with the next term Reset the current term in the sequence to the initial term in the sequence Write a program that tests your class definition.

Q4: Define a class Luggage that represents pieces of luggage. Each Luggage object should have a length, width, and heightmeasured in inchesand a weight in pounds. These objects should be immutable. Using your new class, write a program that processes an airline passenger who has two pieces of luggage. Up-and-Away Airlines allows each passenger a total luggage weight of at most 50 pounds without an additional charge. Moreover, each piece of luggage must satisfy a size requirement; that is, the sum of its length, width, and height must be less than or equal to 62 inches. Oversized luggage is assessed a charge of $5 per piece. Overweight luggage is assessed a charge of $2 per pound over the 50-pound maximum. Your program should ask the user for the size and weight of each piece of luggage, indicate whether an additional charge is required and, if so, the amount of the charge. For example, the output of the program might appear as follows: Type the length, width, and height, in inches and separated by spaces, of the first piece of luggage: 36.5 24 9.5 Type its weight in pounds: 48.5 The dimensions 36.5 x 24.0 x 9.5 total 70.0 inches. This piece is oversized and incurs a $5 charge. Type the length, width, and height, in inches and separated by spaces, of the second piece of luggage: 24.5 8 6.5 Type its weight in pounds: 37.25 The dimensions 24.5 x 8.0 x 6.5 total 39.0 inches. This piece is acceptable. The total weight of the two pieces is 85.75 pounds, which is 35.75 pounds over the limit. The charge at $2 per pound is $71.50 Total luggage charge is $76.50.

Q5: Mad Libs is a childrens game in which they provide a few words that are then incorporated into a silly story. The game helps children understand different parts of speech because they are asked to provide specific types of words. For example, you might ask a child for a noun, another noun, an adjective, and a past-tense verb. The child might reply with such answers as table, book, silly, and studied. The newly created Mad Lib might be: Mary had a little table Its book was silly as snow And everywhere that Mary studied The table was sure to go. Create a Mad Lib program that asks the user to provide at least four or five words, and then create and display a short story or nursery rhyme that uses them.