Independent Events in Elementary Probability Theory

Autor/in	Csenki, Attila
Titel	Independent Events in Elementary Probability Theory
Quelle	In: International Journal of Mathematical Education in Science and Technology, 42 (2011) 5, S.685-691 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Probability; Mathematics; Professional Personnel; Multiplication; Models; Mathematical Formulas; Mathematics Education + Suchen Sie Ihr Suchwort? Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Mathematik; Personalbestand; Multiplikation; Analogiemodell; Mathematische Formel; Mathematische Bildung
Abstract	In Probability and Statistics taught to mathematicians as a first introduction or to a non-mathematical audience, joint independence of events is introduced by requiring that the multiplication rule is satisfied. The following statement is usually tacitly assumed to hold (and, at best, intuitively motivated): If the n events E[subscript 1], E[subscript 2],..., E[subscript n] are jointly independent then any two events A and B built in finitely many steps from two disjoint subsets of {E[subscript 1], E[subscript 2],..., E[subscript n]} are also independent. The operations "union", "intersection" and "complementation" are permitted only when forming the events A and B. Here we examine this statement from the point of view of elementary probability theory. The approach described here is accessible also to "users" of probability theory and is believed to be novel. (Contains 4 notes and 1 figure.) (As Provided).
Anmerkungen	Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10