The problem of birthdays distribution by computer simulation

Man Li, ZhiGang Zhang

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 44-49

School of Mathematics and Physics, USTB, Beijing 100083, China

Over the years, with the rapid development of computer simulation, the probability distribution of birthdays [1, 2] has been a hot topic. Based on the distinguishable ball-into-box issue, this paper started from a seemingly simple ball placing problem and extended to the question of birthday frequency distribution, i.e. people birthday in different dates probability distribution and the distribution law. In addition, also the most important, the value was obtained by Monte Carlo simulations with different frequency distribution birthday days through computer, finally achieving the theoretical value of the frequency values to estimate the probability.