• Duración:
    7 semanas
  • Dedicación:
    3–5 horas por semana
  • Precio:

    GRATIS
    Agregar un Certificado Verificado por $49 USD

  • Institución
  • Tema:
  • Nivel:
    Introductory
  • Idioma:
    English
  • Transcripción de video:
    English

Prerrequisitos

High school algebra

Sobre este curso

Created specifically for those who are new to the study of probability, or for those who are seeking an approachable review of core concepts prior to enrolling in a college-level statistics course, Fat Chance prioritizes the development of a mathematical mode of thought over rote memorization of terms and formulae. Through highly visual lessons and guided practice, this course explores the quantitative reasoning behind probability and the cumulative nature of mathematics by tracing probability and statistics back to a foundation in the principles of counting.

In Modules 1 and 2, you will be introduced to basic counting skills that you will build upon throughout the course. In Module 3, you will apply those skills to simple problems in probability. In Modules 4 through 6, you will explore how those ideas and techniques can be adapted to answer a greater range of probability problems. Lastly, in Module 7, you will be introduced to statistics through the notion of expected value, variance, and the normal distribution. You will see how to use these ideas to approximate probabilities in situations where it is difficult to calculate their exact values.

Lo que aprenderás

  • An increased appreciation for, and reduced fear of, basic probability and statistics
  • How to solve combinatorial counting problems
  • How to solve problems using basic and advanced probability
  • An introductory understanding of the normal distribution and its many statistical applications
  • An ability to recognize common fallacies in probability, as well as some of the ways in which statistics are abused or simply misunderstood
1 Basic Counting
  • 1.1 Counting Numbers
  • 1.2 Large Numbers
  • 1.3 The Multiplication Principle
  • 1.4 More on the Multiplication Principle and Factorials
  • 1.5 The Subtraction Principle
2 Advanced Counting
  • 2.1 Counting Collections
  • 2.2 Binomial Coefficients
  • 2.3 Applications of Collections
  • 2.4 Multinomials
  • 2.5 Collections with Repetition
3 Basic Probability
  • 3.1 Flipping Coins
  • 3.2 Rolling Dice
  • 3.3 Playing Poker
  • 3.4 Distributions of Bridge Hands 
4 Expected Value
  • 4.1 Expected Value: Chuck-A-Luck
  • 4.2 Expected Value: Slot Machines
  • 4.3 Strategizing
5 Conditional Probability
  • 5.1 The Monty Hall Problem
  • 5.2 Conditional Probability: Set-Up and Examples
  • 5.3 Conditional Probability: Elections
6 Bernoulli Trials
  • 6.1 Bernoulli Trials
  • 6.2 The Gambler's Ruin
7 The Normal Distribution
  • 7.1 Games
  • 7.2 Games: Examples and Variance
  • 7.3 Iterating Games
  • 7.4 The Normal Distribution - Part 1
  • 7.5 The Normal Distribution - Part 2

Conoce a tus instructores

Benedict Gross
Leverett Professor of Mathematics, Emeritus
Harvard University
Joseph Harris
Higgins Professor of Mathematics
Harvard University
Emily Riehl
Assistant Professor, Department of Mathematics
Johns Hopkins University

Obtén un Certificado Verificado para destacar los conocimientos y las habilidades que adquieras $49.00

Ver un modelo de certificado de edX en PDF
  • Oficial y verificado

    Obtén un certificado con la firma del instructor y el logotipo de la institución para demostrar tus logros y aumentar las posibilidades de conseguir trabajo

  • Fácil de compartir

    Agrega el certificado a tu currículum o publícalo directamente en LinkedIn

  • Incentivo comprobado

    El certificado te da un motivo más para completar el curso

  • Apoya nuestra labor

    edX, una organización sin fines de lucro, se sustenta con los certificados verificados para financiar la educación gratuita para todo el mundo

Preguntas frecuentes

Honor Code
HarvardX requires individuals who enroll in its courses on edX to abide by the terms of the edX honor code. HarvardX will take appropriate corrective action in response to violations of the edX honor code, which may include dismissal from the HarvardX course; revocation of any certificates received for the HarvardX course; or other remedies as circumstances warrant. No refunds will be issued in the case of corrective action for such violations. Enrollees who are taking HarvardX courses as part of another program will also be governed by the academic policies of those programs.

Nondiscrimination/Anti-Harassment
Harvard University and HarvardX are committed to maintaining a safe and healthy educational and work environment in which no member of the community is excluded from participation in, denied the benefits of, or subjected to discrimination or harassment in our program. All members of the HarvardX community are expected to abide by Harvard policies on nondiscrimination, including sexual harassment, and the edX Terms of Service. If you have any questions or concerns, please contact [email protected] and/or report your experience through the edX contact form.

Research Statement
HarvardX pursues the science of learning. By registering as an online learner in an HX course, you will also participate in research about learning. Read our research statement to learn more.