一类无理概率的模拟问题

A Simulated Problems of Irrational Probability

IstvanSzalkai和DanVelleman讨论了与抛掷非均匀硬币的概率有关的一类模拟问题，提出一个尚未解决的无理概率的模拟问题：若q和r是（0，1）内的代数数，是否存在数p∈（0，1），使得p可同时模拟q和r？本文对这一问题进行了讨论，得到了相应的结果．

Szalkai and Velleman has given a open problem in [I]: For arbitrary algebric number q,r(0<q<1, 0<r<1 ), is there some number p∈ (0, 1 ) such that p simulate q and r simultaneously?This paper is written for solve the above problem.