Write a Matlab code that will generate a random number which

Write a Matlab code that will generate a random number, which can take only two possible values H (representing a heads outcome in a random coin toss) and T (representing a tails in a random coin toss). Generate a sequence of toss outcomes of 10 random trials. Count how many times H and T are generated out of the 10 outcomes. How can you estimate the probability of H and T in this case?

Repeat the experiment with a 1XY, 5XY and 1XYZ outcomes generated. Estimate the probabilities in each case. What do you notice?

Solution

Consider the following values.

1XY=100

5XY=500

1XYZ=1000

Write the MATLAB code for generateRandomNumber.m

function [H, T] = generateRandomNumber(n)
    H = 0;
    T = 0;
    for i = 1:n
        rn = round(rand);
      
        if rn == 1
            H = H + 1;
        else
            T = T + 1;
        end
    end
end

fprintf(\"n - number of random trails \ \");
fprintf(\"H - number of heads \ \");
fprintf(\"T - number of Tailes \ \");
fprintf(\"pH - probability of H \ \");
fprintf(\"pT - probabiltiy of T \ \ \");

Write the MATLAB code and find the probabilities in 1XY=100.

n = 100
[H, T] = generateRandomNumber(n)
pH = H / n
pT = T / n
fprintf(\"\ \")

MATLAB output:

Write the MATLAB code and find the probabilities in 5XY=500.

n = 500
[H, T] = generateRandomNumber(n)
pH = H / n
pT = T / n
fprintf(\"\ \")

MATLAB output:

Write the MATLAB code and find the probabilities in 1XYZ=1000.

n = 1000
[H, T] = generateRandomNumber(n)
pH = H / n
pT = T / n
fprintf(\"\ \")

MATLAB output: