Reading Assignment:

Lab/Homework Assignment:

1. Study he program Dice.java. Then modify this as described below. Write a program that simulates rolling a pair of dice. You can simulate rolling one die by choosing one of the integers 1, 2, 3, 4, 5, or 6 at random. The number you pick represents the number on the die after it is rolled. The expression

   (int)(Math.random()*6) + 1

   does the computation you need to select a random integer between 1 and 6. You can assign this value to a variable to represent one of the dice that are being rolled. Do this twice. Your program should roll a pair of dice until you get a pair. It should report the pair of numbers in each throw and the total number of throws.

   Your output should look like:

   dice: 5  6
   dice: 3  4
   dice: 3  2
   dice: 3  1
   dice: 5  4
   dice: 2  2
   You got a pair in 6 tries
   

2. Using simple probability theory, determine the probability of getting a pair (1/2 ? 1/36 ? 1/6 ?); that is, on the average, how many throws you have to make to get a pair. Run your program 10 times and record (by hand, using a pencil) the number of throws it took to get a pair. Now, compute the average of these numbers and see how close it gets to the theoretical probability.

3. /* Extend this program to print out AND and OR truth tables.
      Remember that there are 4 cases in each table.
      
      NOTE: You should use comments to put your name and the week in all
      your programs.
      
      Author: Huseyin Kocak
      Date: Week 3; February 8, 2008.
      Assignment: Truth Tables
   */
   
   public class TruthTables {
           public static void main(String[] args){ 
   
           boolean flag;
           boolean flag1 = true, flag2 = false;
          
           flag = ( flag1 && flag2 );
           System.out.println(" ");
           System.out.println("***** AND truth table *****");
           System.out.println(flag1 + " AND " + flag2 + " is: " + flag);
                   
           }  //end of main      
   } //end of class
   

   After you finish your program, do a final run with the command:
   java TruthTables > tables.txt
   to dump the output of your program to the file tables.txt. You can read this file with a text editor. Now you have a copy of truth tables to printout, if you like. Ask your TA how to print it.

4. Write a program that prints out all the characters of lower case letters of the English alphabet and their corresponding integer values. Use a while statement to do this. Your output should look like:
   

   a has integer value 97
   b has integer value 98
   ...
   ...
   z has integer value 122 
   

   For extra credit do the same for upper case letters, the digits and their corresponding integer values.