# Probability of Election in a Vote

Probability of Election in a Vote

A group of people wishes to elect one of their members as their leader. Each member of the group can vote for any member in a smaller set of candidates of size . Candidates can vote for themselves. At least votes are needed to elect a leader. Suppose that each of the people votes for one of the candidates randomly. The result shows the approximate probability of election as a function of .

N

n≤N

M

N

n

n