Modelos de urnas e loterias
Autor(a) principal: | |
---|---|
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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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 |
format |
masterThesis |
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 |
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por |
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por |
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-7090823417984401694 |
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Universidade Federal de Goiás |
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UFG |
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Brasil |
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Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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