Author name: markelic

https://brilliant.org/wiki/integer-equations-star-and-bars/ https://brilliant.org/wiki/identical-objects-into-distinct-bins/ So, the total number of objects consists of the number of balls or start or else plus the number of bins -1 (which is the number of bars needed). Note, that it does not matter if we find all the ways we can choose the number of bars from the total number of

AllGirlsIfAtLeastOneGirl In [6]: from scipy.stats import binom, uniform import numpy as np #sample from a binomial distribution #Model: Urn with balls of 2 colors. Draw a ball n times with replacement and note down #number of successes. n=1 p=1/2 #we want to model 10000 families. Each family has 2 children. Each time the child #might be

https://gist.github.com/irene-markelic/c57d616a1dab051b4d57e70d36fb920b#file-binomialdistributionexample-ipynb BinomialDistributionExample In [1]: from scipy.stats import binom import matplotlib.pyplot as plt # experiment: 10 balls, 7 are white and 3 black # we pick a ball 10 times with replacement # What is the probability that there are: # – 0 white balls # – 1 white ball # – 2 white balls # –