Error distribution using poisson distribution

I want to plot error distribution using Poisson distribution. X and Y are the random binary strings, but not identical. Break string into blocks and compute the parity for those blocks then compare each X and Y blocks parity. If the parity doesn't match (odd parity) which mean the block has an error. I can able to see the error distribution but Is there any way I could use the Poisson distribution in this scenario.

clear all; clc;
close all;

for loop = 1:1
      X=randi([0 1], 1000,1);
    Y=bsc(X,0.03);
    block  = 100; 
    ct = 0; % Count for Histogram / Stem
    for i = 1:block :length(X)
        ct = ct + 1;
        ind =[i:i+block-1];
        R = (sum(X(ind))== sum(Y(ind)));
        E = ~R;
        data(loop,ct) = E;
    end
        figure(loop)
        stem(data(loop,:))
        str = sprintf('For Loop %d',loop);
        title(str);
end