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STUDENT : GABRIEL GARCIA DA COSTA

DATE: 04/07/2023

TIME: 08:00

LOCAL: Sala de Seminários do Departamento de Matemática

TITLE:

Laplace without equiprobability is a mistake

KEY WORDS:

Probability, Equiprobability, Laplace, Kolmogorov.

PAGES: 73

BIG AREA: Ciências Exatas e da Terra

AREA: Matemática

SUMMARY:

Laplace without equiprobability is an example of what should not be done in Mathematics, such as using a definition where it can not be applied. Pereira et al. (2020) developed a study where many middle and high school textbooks, as well as many of PROFMAT’s dissertations about probability were analysed and it was noted that the most used definition of probability is Laplace’s

(1749-1827) and such definition is also called the classical definition of probability. However, Pereira et al. (2020) highlights the fact that numerous bibliographies that were knowledged in the study, did not come to mention the fundamental hypothesis of equiprobability. The goal of this paper is to show the errors one commits when using the classical definition of probability when

there is no equiprobability. Highlighting several situations where our sample space is not equiprobable and examples of random variables that can induce a new sample space in a random experiment both equiprobable and non-equiprobable.

COMMITTEE MEMBERS:

Presidente - 1153898 - ANDRE GUSTAVO CAMPOS PEREIRA

Interno - 1549905 - FAGNER LEMOS DE SANTANA

Externo à Instituição - CARLOS ALBERTO PEREIRA DOS SANTOS - UnB

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