The following program is to be written in matlab. I need help with parts A and B please. Problem 2: Dice throw probabilitiesYou want to know the probability of a specified outcome when summing two (six-sided) dice.(a) Write a program that uses loops to calculate the number of times each possible outcome (sum)occurs.Your program should return two arrays:A list of the possible outcomes (sums) – this will be numbers between 2 and 12, the possiblesums of 2 dice.A list of the corresponding probabilities for each possible outcome. Make sure that all ofyour probabilities add up to 1.(b) Write another program that "tosses" two dice with random outcomes 1-6 and computes the sum,100 times. Report the number of times that each possible sum occurs. Compare this to the trueprobabilities calculated in part (a).

Answered: The following program is to be written…

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The following program is to be written in matlab. I need help with parts A and B please.

Problem 2: Dice throw probabilities
You want to know the probability of a specified outcome when summing two (six-sided) dice.
(a) Write a program that uses loops to calculate the number of times each possible outcome (sum)
occurs.
Your program should return two arrays:
A list of the possible outcomes (sums) – this will be numbers between 2 and 12, the possible
sums of 2 dice.
A list of the corresponding probabilities for each possible outcome. Make sure that all of
your probabilities add up to 1.
(b) Write another program that "tosses" two dice with random outcomes 1-6 and computes the sum,
100 times. Report the number of times that each possible sum occurs. Compare this to the true
probabilities calculated in part (a).

Expert Solution

Step 1

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============== FUNCTION 1 BELOW ====================

function [arr1,arr2] = probabFunc()
arr1 = [];
arr2 = zeros(1,11);
for i=1:6
for j=1:6
arr2(i+j-1) = arr2(i+j-1)+1;
end
end
for i=2:12
arr1(end+1) = i;
end

arr2 = arr2./36;
disp(arr2);
end

probabFunc()

================ FUNCTION 2 BELOW ======================

function [arr2] = checkFunc()
arr2 = zeros(1,11);
for i=1:100
sum = randi([1 6],1) + randi([1 6],1);
arr2(sum-1) = arr2(sum-1)+1;
end
arr2=arr2./100;
end

checkFunc();