Modelos de urnas e loterias

Detalhes bibliográficos
Autor(a) principal: Oliveira, Paulo Roberto de
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/3960
Resumo: Many monthly, others weekly play in lottery games ignoring the randomness of the results, believing in luck or strategies that are sold to them in books about games. This monograph aims to show some concepts of probability and statistics unexplored in high school and also day to day situations that contain mathematical concepts of probability more accessible to this level of education showing some mathematical theories applied in practice games. Concepts will be discussed here: some probability distributions, their hope and variance, as well as lottery games and their probability calculations. Probability distributions will be calculated and listed in situations created from models of urns with two colors of balls, always having green as the color whose extraction will be considered successful and the red, whose extraction will be considered a failure. Now extractions with replacement balls will be made and sometimes extractions will be done without replacing them. Also, there is the case where new balls are added to both colors or one color.
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spelling Vargas Júnior, Valdivinohttp://lattes.cnpq.br/1795859800919467Vargas Júnior, ValdivinoKrindges, AndréBaumann, Luis Rodrigo Fernandeshttp://lattes.cnpq.br/1401231734229784Oliveira, Paulo Roberto de2015-01-28T11:28:00Z2014-07-11OLIVEIRA, Paulo Roberto de. Modelos de urnas e loterias. 2014. 107 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tede/3960Many monthly, others weekly play in lottery games ignoring the randomness of the results, believing in luck or strategies that are sold to them in books about games. This monograph aims to show some concepts of probability and statistics unexplored in high school and also day to day situations that contain mathematical concepts of probability more accessible to this level of education showing some mathematical theories applied in practice games. Concepts will be discussed here: some probability distributions, their hope and variance, as well as lottery games and their probability calculations. Probability distributions will be calculated and listed in situations created from models of urns with two colors of balls, always having green as the color whose extraction will be considered successful and the red, whose extraction will be considered a failure. Now extractions with replacement balls will be made and sometimes extractions will be done without replacing them. Also, there is the case where new balls are added to both colors or one color.Muitos jogam mensalmente, outros semanalmente, em jogos de loterias desconhecendo a aleatoriedade dos seus resultados, acreditando na sorte ou em estratégias que lhes são vendidas em livros sobre jogos. A presente monogra a tem como objetivo mostrar alguns conceitos da Probabilidade e Estatística não explorados no Ensino Médio e também situações do dia a dia que contenham conceitos matemáticos sobre Probabilidade mais acessíveis a este nível de ensino, mostrando um pouco de teorias matemáticas aplicadas na prática de jogos. Serão conceitos aqui discutidos: algumas distribuições de probabilidade, sua esperan ça e variância, além de jogos de loterias e seus cálculos de probabilidade. As distribuições de probabilidade serão enunciadas e calculadas em situações criadas a partir de modelos de urnas com duas cores de bolas, tendo sempre o verde como a cor cuja extração será considerada sucesso e, o vermelho, cuja extração será considerada insucesso. Ora serão feitas extrações com reposições das bolas e ora serão feitas extrações sem a reposição das mesmas. 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dc.title.por.fl_str_mv Modelos de urnas e loterias
dc.title.alternative.eng.fl_str_mv Models of urns and lotteries
title Modelos de urnas e loterias
spellingShingle Modelos de urnas e loterias
Oliveira, Paulo Roberto de
Distribuição de probabilidade
Modelo de urna
Probabilidade
Loteria
Probability distribution
Urn model
Probability
Lottery
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Modelos de urnas e loterias
title_full Modelos de urnas e loterias
title_fullStr Modelos de urnas e loterias
title_full_unstemmed Modelos de urnas e loterias
title_sort Modelos de urnas e loterias
author Oliveira, Paulo Roberto de
author_facet Oliveira, Paulo Roberto de
author_role author
dc.contributor.advisor1.fl_str_mv Vargas Júnior, Valdivino
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1795859800919467
dc.contributor.referee1.fl_str_mv Vargas Júnior, Valdivino
dc.contributor.referee2.fl_str_mv Krindges, André
dc.contributor.referee3.fl_str_mv Baumann, Luis Rodrigo Fernandes
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1401231734229784
dc.contributor.author.fl_str_mv Oliveira, Paulo Roberto de
contributor_str_mv Vargas Júnior, Valdivino
Vargas Júnior, Valdivino
Krindges, André
Baumann, Luis Rodrigo Fernandes
dc.subject.por.fl_str_mv Distribuição de probabilidade
Modelo de urna
Probabilidade
Loteria
topic Distribuição de probabilidade
Modelo de urna
Probabilidade
Loteria
Probability distribution
Urn model
Probability
Lottery
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Probability distribution
Urn model
Probability
Lottery
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description Many monthly, others weekly play in lottery games ignoring the randomness of the results, believing in luck or strategies that are sold to them in books about games. This monograph aims to show some concepts of probability and statistics unexplored in high school and also day to day situations that contain mathematical concepts of probability more accessible to this level of education showing some mathematical theories applied in practice games. Concepts will be discussed here: some probability distributions, their hope and variance, as well as lottery games and their probability calculations. Probability distributions will be calculated and listed in situations created from models of urns with two colors of balls, always having green as the color whose extraction will be considered successful and the red, whose extraction will be considered a failure. Now extractions with replacement balls will be made and sometimes extractions will be done without replacing them. Also, there is the case where new balls are added to both colors or one color.
publishDate 2014
dc.date.issued.fl_str_mv 2014-07-11
dc.date.accessioned.fl_str_mv 2015-01-28T11:28:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv OLIVEIRA, Paulo Roberto de. Modelos de urnas e loterias. 2014. 107 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/3960
identifier_str_mv OLIVEIRA, Paulo Roberto de. Modelos de urnas e loterias. 2014. 107 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.
url http://repositorio.bc.ufg.br/tede/handle/tede/3960
dc.language.iso.fl_str_mv por
language por
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dc.relation.confidence.fl_str_mv 600
600
600
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dc.relation.department.fl_str_mv -4268777512335152015
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em PROFMAT (RG)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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