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View/ Open ExpectationsForRoulette.nbp 73.07Kb application/octet-stream
Title: Expectations for roulette
Type of Resource: Animação/simulação
Abstract: The expectation value of betting n times at constant odds is the same as the n-th power of the expectation value for one bet. In roulette games the arrangement of numbers can be ignored for simple bets on individual numbers. Casinos that use European wheels with only one zero pay 35 times the bet and return the bet. Thus the expected value is (1+35)/37, that is, 36/37. American wheels have an extra zero, giving an expectation of 36/38. The plot shows what can be expected to remain after n bets with expectation values 36/36, 36/37, and 36/38
Observation: This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Curriculum Component: Ensino Médio::Matemática
Theme: Educação Básica::Ensino Médio::Matemática::Análise de dados e probabilidade
Author: Schreiber, Michael
Language: English (en)
Country: United States (us)
Publisher: Wolfram Demonstration Project
Web Address: http://demonstrations.wolfram.com/ExpectationsForRoulette/
Date: 2009
Rightsholder: The Wolfram Demonstrations Project & Contributors
License: Demonstration freeware using MathematicaPlayer
Submitter: Universidade Federal de São Carlos (UFSCAR)
URI: http://objetoseducacionais2.mec.gov.br/handle/mec/10683
This Educational Object appears in the following Types of resources: Ensino Médio: Matemática: Animações/Simulações