Suppose that a user wants to simulate rolls of 6-sided dice with a program. In particular, the user wants to know how often a
roll of two dice produce snake-eyes, which means that both dice roll to one.

2a [24 points] Write an algorithm to design a program that will find the percent chance of rolling snake-eyes by
determining (100)(successful rolls)/(total rolls).

2b [25 points] Complete the code in Problem 2b to write a program that will report the chance of rolling snake eyes. Your
algorithm does not have to match this code, but it will likely be similar.

2c [1 point] What is the exact value of chance of rolling snake-eyes on any given roll?

***************************************************************
% 2b Solution:

% Initialize variables:
  maxrolls = 100;  % max number of allowed rolls
  count = 0;       % number of rolls so far
  snakeeyes = 0;   % number of snake-eyes so far

% Roll both dice and count snakeeyes for maxrolls:
  for count=1:maxrolls
     count=count+1;
     roll1=floor(rand*6)+1; % roll 1st die
     roll2=floor(rand*6)+1; % roll 2nd die
     % Count snake-eyes:
       if roll1==1 & roll2==1
	 snakeeyes=snakeeyes+1;
       end
  end
  
% Report chance of rolling snake-eyes
  disp(['Chance of rolling snake-eyes: ',num2str(100*snakeeyes/maxrolls),'%']);

******************************************************************






Problem 3 [30 points] Repetition Statements

Problem: Write a MATLAB program that prints out all of the even numbers between and including two numbers that a user
inputs. Assume that the user inputs two legal numbers, but your program will have to determine which number is bigger than
the other. Print the minimum and maximum values only if they are even. You may use logical arrays, if you wish. Be sure to
supply brief comments.

Example Session:
>> problem3
Enter a number: 7
Enter another number: 2
2
4
6

******************************************************************
% Initialize variables:
  value1 = input('Enter a number: ');
  value2 = input('Enter another number: ');
  
% Pick max and min:
  if value1>value2
    max=value1; min=value2;
  else
    max=value2; min=value1;
  end
  
% Report even values between min and max:
  for ii=min:max
  
    % Find even number:
      if mod(ii,2)==0
	disp(num2str(ii));
      end
      
  end
******************************************************************






Problem 1 [20 points] Nested loops, Character graphics

Task: Write a program that prints a trapezoid of stars (’*’) for a depth supplied by the user. This trapezoid will always have
three stars on top. For instance, the following trapezoid has a depth of five:
    ***
   *****
  *******
 *********
***********

Approaches: There many ways to do this problem. You might wish to follow this algorithm:
• Start with a row.
• For the current row, print the columns.
- Print a space until you reach “the end,” which varies as the difference depth-row.
- Print stars until you reach spaces again.
• Go to the next row until you exceed the depth.


*******************************************************************
for row=1:depth

  % print whitespace:
  for col=1:depth-row
    fprintf(' ');
  end
  % print stars:
  for col=1:row*2+1
    fprintf('*');
  end

  % advance to the next line:
  fprintf('\n');  
  
end
********************************************************************