At each round when an individual is selected to transfer money, there's a 50:50 probability that they give a dollar or receive a dollar. A coin flip. The total

At each round when an individual is selected to transfer money, there's a 50:50 probability that they give a dollar or receive a dollar. A coin flip. The total number of heads after N coin flips follows a binomial distribution [0]. So too does the total number of times an individual will receive a dollar over N game rounds. [0] https://en.wikipedia.org/wiki/Binomial_distribution https://en.wikipedia.org/wiki/Binomial_distribution