It is often useful to be able to simulate the throw of a fair die. Write a MATLA

Question

It is often useful to be able to simulate the throw of a fair die. Write a MATLAB function, dice.m, that simulates the throw of a fair die by returning some random integer between 1 and 6 every time that it is called. (Hint: Call rand to generate a random number. Divide the possible values out of rand into six equal intervals and return the number of the interval that a given random value falls into.) Write a script, test_dice.m, that simulates 10,000 times with drawing a histogram figure and displays the first 30 values in the dice. The histogram must have title, x-label, and y-label. Show the function dice.m, the script test_dice.m, and the testing result and figure

Explanation / Answer

-*) function dice.m

X = rand; %returns a single uniformly distributed random number between 0 and 1.

function dice = Drop_dice(X)

%this function returns a single dice value
%between 0 and 6.

   for i=0:1

       cal = X*6; %returns a single uniformly distributed random number between 0 and 6.
       dice = floor(cal); %returns a random integer number between 0 and 1.

   end

   fprintf(1,'%f ',dice);
end

-*) the script test_dice.m

X = rand; %returns a single uniformly distributed random number between 0 and 1.

while n<10000
   function dice = Drop_dice(X)

   %this function returns a single dice value
   %between 0 and 6.

       for i=0:1

           cal = X*6; %returns a single uniformly distributed random number between 0 and 6.
           dice = floor(cal); %returns a random integer number between 0 and 1.

       end

       fprintf(1,'%f ',dice);
   end
   n = n + 1;
end

-*) optional dice.java

import java.util.Random;

public class dice {
   public static void main(String[] args){
       int n=0, i, dice;

       try{//Parse the string argument into an integer value

           n=Integer.parseInt(args[0]);
       }

       catch(java.lang.ArrayIndexOutOfBoundsException e){
       System.err.println("One integer: Number of Dices");
       System.exit(1);
       }

       Random generator = new Random();
       // Random generator = new Random(puedes poner la semilla a mano);
       for(i=0; i<n; i++){
           dice=generator.nextInt(6)+1;
           //print the rest of the random numbers
           System.out.print(" " + dice);
       }
       System.out.print(" ");
       }
}

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