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ERIC Number: EJ938149
Record Type: Journal
Publication Date: 2005-Sep
Pages: 5
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
On Primes, Density Measures, and Statistical Independence
Chen, Yung-Pin
College Mathematics Journal, v36 n4 p284-288 Sep 2005
A result known as the Borel-Cantelli lemma is about probabilities of sequences of events. This article presents an example in which it appears that the hypotheses of the lemma are satisfied but the conclusion is not. The explanation of why not combines elements of probability theory, number theory, and analysis.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A