Question

1. Write a function named ”ThreeDicesAdd” to perform the following ”experiment” 1000 times: roll 3
six-sided dice and add their values. Put the outcomes in a list called addDiceList. So addDiceList should
have length 1000, and each of the 1000 elements should be an integer from 3 to 18. Plot the histogram of
the outcomes.
2. For the same experiment as in question 1, write a function named ”ThreeDicesAdd2” to increase the
experiment times (N) and see how the histogram of the outcomes changes. For each N, you will have one
histogram plot. Output all plots as a GIF file. (Choose N= 1000 : 10,000 : 1,000,000). matlab question

Answer 1

I have coded the following problem in MATLAB that solves the above problem. I have coded the two functions ThreeDicesAdd and ThreeDicesAdd2 and also attached the required histograms.

ThreeDicesAdd screenshot

ThreeDicesAdd code to copy

function addDiceList = ThreeDicesAdd()
    % Initializing an one-dimensional array with size 1000 
    addDiceList = zeros(1, 1000);
    for n = 1:1000
        % The first throw of the dice
        firstThrow = randi([1, 6]);
        % The second throw of the dice
        secondThrow = randi([1, 6]);
        % The third throw of the dice
        thirdThrow = randi([1, 6]);
        % The total of all the throws
        total = firstThrow + secondThrow + thirdThrow;
        % We add that throw to the list.
        addDiceList(n) = total;
    end
end

ThreeDicesAdd2 screenshot

ThreeDicesAdd2 code to copy

function addDiceList = ThreeDicesAdd2(N)
    % Initializing an one-dimensional array with size 1000 
    addDiceList = zeros(1, N);
    for n = 1:N
        % The first throw of the dice
        firstThrow = randi([1, 6]);
        % The second throw of the dice
        secondThrow = randi([1, 6]);
        % The third throw of the dice
        thirdThrow = randi([1, 6]);
        % The total of all the throws
        total = firstThrow + secondThrow + thirdThrow;
        % We add that throw to the list.
        addDiceList(n) = total;
    end
end

Driver code screenshot

Driver code to copy

res = ThreeDicesAdd(1000);
h = histogram(res);

Histograms:

• N = 1000

• N = 10000

• N = 1000000