(Dice Rolling) Write an application to simulate the rolling of two dice. The app

Question

(Dice Rolling) Write an application to simulate the rolling of two dice. The application should use an object of class Random once to roll the first die and again to roll the second die. The sum of the two values should then be calculated. Each die can show an integer value from 1 to 6, so the sum of the values will vary from 2 to 12, with 7 being the most frequent sum, and 2 and 12 the least frequent. Figure 7.28 shows the 36 possible combinations of the two dice. Your application should roll the dice 36,000,000 times. Use a one-dimensional array to tally the number of times each possible sum appears. Display the results in tabular format.

code to get the random number class imported

import java.util.Random;

code to declare a variable of type random

Random randomNumbers = new Random();

using it

variable = 1 + randomNumbers.nextInt(6);

***The codes for the problem

public class SumDice {

   public static void main(String[] args) {
     

   //variables
   int dice1;
   int dice2;
   int arr[]=new int[11];
   int count=0;

   //Printing result of Dice Rolled 36,000,000 times
   for(int i=0;i<36000000;i++)
   {
       int sum= RollDice(); //Calling the method RollDice to calculate the sum
       if(sum==2) // Storing the sum in array
       {
           arr[0]++;
       }
       else if(sum==3)
       {
           arr[1]++;
       }
       else if(sum==4)
       {
           arr[2]++;
       }
       else if(sum==5)
       {
           arr[3]++;
       }
       else if(sum==6)
       {
           arr[4]++;
       }
       else if(sum==7)
       {
           arr[5]++;
       }
       else if(sum==8)
       {
           arr[6]++;
       }
       else if(sum==9)
       {
           arr[7]++;
       }
       else if(sum==10)
       {
           arr[8]++;
       }
       else if(sum==11)
       {
           arr[9]++;
       }
       else if(sum==12)
       {
           arr[10]++;
       }
   }
   for(int j=0;j<6;j++)
   {
       for(int k=count;k<6+j;k++)
       {
           System.out.print(" "+arr[k]);
       }
       System.out.println();
       count++;
   }
  
   }
   public static int RollDice()
   {     
   int dice1=(int)(Math.random()*6+1); //Rolling Dice to generate random Number
   int dice2=(int)(Math.random()*6+1);
   int sum= dice1 + dice2; //Adding the random numbers of both the dice
   return sum;
  
}

***** The problem and the code are above. Can someone cleraly explian the code in details so i can understand the code. Thank you for your time.

Explanation / Answer

It gets more interesting when you have two dice. One thing that you can do is work out what the total of the dice is. The dice experiment allows you to simulate throwing pairs of dice and see what the result is. This is a good introduction to probability, since you can see which combinations are more likely. But the real world, or even a simulated real world, never matches completely with calculated probability. So how do we calculate it? The first thing is to work out what the range is. You can't have a total less than 2 (both dice being 1) and you can't have a total more than 12 (both dice being 6). The easiest way to see what the probabilities is to write out the possible totals. There are 36 of them in all (6 x 6).

Total on dice Pairs of dice Probability 2 1+1 1/36 = 3% 3 1+2, 2+1 2/36 = 6% 4 1+3, 2+2, 3+1 3/36 = 8% 5 1+4, 2+3, 3+2, 4+1 4/36 = 11% 6 1+5, 2+4, 3+3, 4+2, 5+1 5/36 = 14% 7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 6/36 = 17% 8 2+6, 3+5, 4+4, 5+3, 6+2 5/36 = 14% 9 3+6, 4+5, 5+4, 6+3 4/36 = 11% 10 4+6, 5+5, 6+4 3/36 = 8% 11 5+6, 6+5 2/36 = 6% 12 6+6 1/36 = 3%

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.