% HISTPROB
% Demo for Lecture 6B
% Calculate the probability of a particular histogram
% (vector of counts) when sampling from uniform distribution
% over an interval, and making histogram with equally wide categories.
%
% Input: Heights of the histogram bars.
%
function f=histprob(nn)

k = length(nn);    % Number of bars (categories)
n = sum(nn);       % Sample size (sum of bar heights)
p = 1/k;           % Probability of a point landing in a particular interval
f = multinomial_coefficient(n,nn) * p^n;