Question

In MATLAB, generate a way to calculate the minimum number of people needed for 2 people of the sample to have the same birthday.

Answer 1

clear; clc;
n = 100; % size of 100 random people
I = ones(100, n); % initialize array I to all 1's
k = 1; % initialize since probability for only 1 person is 1
for j = 1 : 100 % begin for loop
I(j) = 1 - k; % each element of I is assigned a probability
k = k * (365 -j)/365; % then calculate new probability and repeat
end % end for loop
plot(I, 'red') % plot the number of people vs. the probability
title('probability of any two people having same birthday in group of people');
xlabel('number of people in the group ');
ylabel('probability of any two people having the same birthday');