摘要
本文在古典概型和概率空间(Ω,F,P)[1]上,讨论随机事件相互独立与素数的关系。利用古典概型概率计算方法,证明概率空间(Ω,F,P)恰有n个相互独立的随机事件的充要条件是样本空间Ω的样本点个数可以分解成n个素数的乘积。
On the basis of classic probability model and probability space（Ω,F,P）,this thesis discusses the relationship between independent random events and prime numbers. We have proved that probability space （Ω,F,P） just has n independent random events only if the element number in sample space Ω may be resolved into the product of n prime numbers, by means of probability calculate method of classic probability model.
出处
《重庆师范大学学报（自然科学版）》
CAS
2005年第3期70-71,共2页
Journal of Chongqing Normal University:Natural Science
关键词
概率空间
概率
样本空间
Σ-代数
随机事件
相互独立性
素数
probability space
probability
sample space
σ-algebra
random event
indeptndent
prime number
