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Sebastian Thrun
and
Josh Bernhard
This course is a comprehensive dive into the fundamental concepts and principles of probability. You’ll begin with basic probability theory, then progress to more complex topics such as binomial distributions, conditional probability, and Bayes’ Rule. These...
Read more
This course is a comprehensive dive into the fundamental concepts and principles of probability. You’ll begin with basic probability theory, then progress to more complex topics such as binomial distributions, conditional probability, and Bayes’ Rule. These...
Read more
This course is a comprehensive dive into the fundamental concepts and principles of probability. You’ll begin with basic probability theory, then progress to more complex topics such as binomial distributions, conditional probability, and Bayes’ Rule. These skills will enhance your ability to reason about uncertainty and make claims using data.
Register for this course and see more details by visiting:
OpenCourser.com/course/os42ys/probabilit
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What's inside
Syllabus
In this lesson, we start off with meeting the instructors and a high-level overview of probability.
In this lesson, you'll gain the basics of probability using coins and die.
Read more
Syllabus
In this lesson, we start off with meeting the instructors and a high-level overview of probability.
In this lesson, you'll gain the basics of probability using coins and die.
Read more
In this lesson, you'll learn about one of the most popular distributions in probability - the Binomial Distribution.
Not all events are independent. In this lesson, you'll learn the probability rules for dependent events.
In this lesson, you'll learn one of the most popular rules in all of statistics - the Bayes Rule.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Explores core concepts in probability, which is foundational for advanced math & statistics
Taught by Sebastian Thrun, a respected innovator & researcher. Josh Bernhard provides additional expertise
Examines a sequence of fundamental probability concepts, including Binomial Distribution, Bayes' Rule
Suitable for learners with basic mathematical knowledge seeking a solid understanding of probability
Requires a strong understanding of basic probability
Save this course
Save Probability to your list so you can find it easily later:
Save
Save
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Probability with these
activities:
Review math skills including algebra and statistics
Show steps
Refresh your foundational math skills to support your learning in probability.
Browse courses on
Algebra
Show steps
-
Review notes or textbooks
-
Practice solving equations and inequalities
-
Work on statistics problems involving probability
-
Take online quizzes or practice tests
-
Seek help from a tutor or instructor if needed
Review probability axioms and basic definitions
Show steps
Ensure a solid understanding of the foundational concepts of probability.
Show steps
-
Review lecture notes or textbooks
-
Create flashcards for key terms
-
Take a practice quiz
-
Discuss the concepts with a study partner
-
Seek clarification from the instructor if necessary
Watch video explanations of probability concepts
Show steps
Gain a deeper understanding of the concepts by watching clear and concise explanations.
Show steps
-
Find educational videos on YouTube or other platforms
-
Choose videos that cover specific topics you need to reinforce
-
Watch the videos and take notes as needed
-
Pause and rewind the videos as necessary
-
Review the videos multiple times
Five other activities
Expand to see all activities and additional details
Show all eight activities
Work through example problems
Show steps
Review the concepts and practice applying them in different scenarios.
Show steps
-
Review notes or lecture materials
-
Identify solved example problems
-
Solve the problems on your own
-
Check your answers
-
Repeat the process for additional problems
Solve probability puzzles
Show steps
Practice solving problems that require calculations and logical thinking.
Show steps
-
Choose a puzzle website or app
-
Start by solving puzzles with known solutions
-
Try to solve puzzles without looking at the solution
-
Check your answers and make corrections when necessary
-
Gradually increase the difficulty of the puzzles
Join a study group or online forum
Show steps
Connect with peers to discuss concepts, ask questions, and share insights.
Show steps
-
Find a study group or online forum
-
Introduce yourself and ask questions
-
Participate in discussions
-
Help other students understand concepts
-
Attend regular meetings or participate actively in the forum
Create a probability cheat sheet
Show steps
Organize and summarize the key concepts and formulas for quick reference.
Show steps
-
Gather your notes and textbooks
-
Identify the most important formulas and concepts
-
Organize the information in a logical way
-
Create a one-page cheat sheet
-
Review and update the cheat sheet regularly
Write a blog post explaining a probability concept
Show steps
Solidify your understanding by writing about it and explaining it to others.
Show steps
-
Choose a specific probability concept to write about
-
Research the concept thoroughly
-
Write a draft of your blog post
-
Get feedback on your draft
-
Revise and publish your blog post
Review math skills including algebra and statistics
Show steps
Refresh your foundational math skills to support your learning in probability.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Review notes or textbooks
- Practice solving equations and inequalities
- Work on statistics problems involving probability
- Take online quizzes or practice tests
- Seek help from a tutor or instructor if needed
Review probability axioms and basic definitions
Show steps
Ensure a solid understanding of the foundational concepts of probability.
Show steps
Show steps
Show steps
- Review lecture notes or textbooks
- Create flashcards for key terms
- Take a practice quiz
- Discuss the concepts with a study partner
- Seek clarification from the instructor if necessary
Watch video explanations of probability concepts
Show steps
Gain a deeper understanding of the concepts by watching clear and concise explanations.
Show steps
Show steps
Show steps
- Find educational videos on YouTube or other platforms
- Choose videos that cover specific topics you need to reinforce
- Watch the videos and take notes as needed
- Pause and rewind the videos as necessary
- Review the videos multiple times
Five other activities
Expand to see all activities and additional details
Show all eight activities
Work through example problems
Show steps
Review the concepts and practice applying them in different scenarios.
Show steps
Show steps
Show steps
- Review notes or lecture materials
- Identify solved example problems
- Solve the problems on your own
- Check your answers
- Repeat the process for additional problems
Solve probability puzzles
Show steps
Practice solving problems that require calculations and logical thinking.
Show steps
Show steps
Show steps
- Choose a puzzle website or app
- Start by solving puzzles with known solutions
- Try to solve puzzles without looking at the solution
- Check your answers and make corrections when necessary
- Gradually increase the difficulty of the puzzles
Join a study group or online forum
Show steps
Connect with peers to discuss concepts, ask questions, and share insights.
Show steps
Show steps
Show steps
- Find a study group or online forum
- Introduce yourself and ask questions
- Participate in discussions
- Help other students understand concepts
- Attend regular meetings or participate actively in the forum
Create a probability cheat sheet
Show steps
Organize and summarize the key concepts and formulas for quick reference.
Show steps
Show steps
Show steps
- Gather your notes and textbooks
- Identify the most important formulas and concepts
- Organize the information in a logical way
- Create a one-page cheat sheet
- Review and update the cheat sheet regularly
Write a blog post explaining a probability concept
Show steps
Solidify your understanding by writing about it and explaining it to others.
Show steps
Show steps
Show steps
- Choose a specific probability concept to write about
- Research the concept thoroughly
- Write a draft of your blog post
- Get feedback on your draft
- Revise and publish your blog post
Career center
Learners who complete Probability will develop knowledge and skills
that may be useful to these careers:
Risk Analyst
Risk Analyst
Risk analysts help organizations to identify, assess, and manage potential risks. The ability to accurately calculate probabilities is essential for any risk analyst. This course will help build a solid foundation in probability theory, which will help risk analysts make better decisions and recommendations. This course may be useful for someone seeking a career as a risk analyst, especially as it provides a good overview of conditional probability and Bayesian analysis.
Risk Manager
Risk Manager
Risk managers use their skills in probability and statistics to identify, assess, and manage risks within organizations. This course will provide a solid foundation in probability theory, which will help risk managers better understand and analyze data. This course may be useful for someone seeking a career as a risk manager, especially as it provides a good overview of conditional probability and Bayesian analysis.
Actuary
Actuary
Actuaries use their skills in probability and statistics to assess and manage financial risk. The ability to accurately calculate probabilities is essential for any actuary. This course will help build a solid foundation in probability theory, which will help actuaries make better decisions and recommendations. This course may be useful for someone seeking a career as an actuary, as it provides a good overview of conditional probability and Bayesian analysis.
Operations Research Analyst
Operations Research Analyst
Operations research analysts use their skills in probability and statistics to solve complex business problems. This course will provide a strong foundation in probability theory, which will help operations research analysts better understand and analyze data. This course may be useful for someone seeking a career as an operations research analyst, as it covers topics such as binomial distributions and Bayes' Rule.
Statistician
Statistician
Statisticians use their skills in probability and statistics to design and conduct studies, as well as analyze and interpret data. This course will provide a strong foundation in probability theory, which will help statisticians better understand and analyze data. This course may be useful for someone seeking a career as a statistician, as it covers topics such as binomial distributions and Bayes' Rule.
Data Analyst
Data Analyst
Data analysts use their skills in probability and statistics to analyze and interpret data. This course will provide a strong foundation in probability theory, which will help data analysts better understand and analyze data. This course may be useful for someone seeking a career as a data analyst, as it covers topics such as binomial distributions and Bayes' Rule.
Financial Analyst
Financial Analyst
Financial analysts use probability and statistics to evaluate investments and make recommendations to clients. This course will provide a strong foundation in probability theory, which will help financial analysts better understand and analyze financial data. This course may be useful for someone seeking a career as a financial analyst, as it provides a good overview of conditional probability and Bayesian analysis.
Quantitative Analyst
Quantitative Analyst
Quantitative analysts use their skills in probability and statistics to develop and implement trading strategies. This course will provide a strong foundation in probability theory, which will help quantitative analysts better understand and analyze financial data. This course may be useful for someone seeking a career as a quantitative analyst, as it provides a good overview of conditional probability and Bayesian analysis.
Reliability Engineer
Reliability Engineer
Reliability engineers use their skills in probability and statistics to assess and manage the reliability of systems and components. This course will provide a strong foundation in probability theory, which will help reliability engineers better understand and analyze data. This course may be useful for someone seeking a career as a reliability engineer, as it covers topics such as binomial distributions and Bayes' Rule.
Machine Learning Engineer
Machine Learning Engineer
Machine learning engineers use their skills in probability and statistics to develop and implement machine learning algorithms. This course will provide a strong foundation in probability theory, which will help machine learning engineers better understand and analyze data. This course may be useful for someone seeking a career as a machine learning engineer, as it covers topics such as binomial distributions and Bayes' Rule.
Business Analyst
Business Analyst
Business analysts use their skills in probability and statistics to analyze and interpret data to make business decisions. This course will provide a strong foundation in probability theory, which will help business analysts better understand and analyze data. This course may be useful for someone seeking a career as a business analyst, as it covers topics such as binomial distributions and Bayes' Rule.
Data Scientist
Data Scientist
Data scientists use their skills in probability and statistics to extract insights from data. This course will provide a strong foundation in probability theory, which will help data scientists better understand and analyze data. This course may be useful for someone seeking a career as a data scientist, as it covers topics such as binomial distributions and Bayes' Rule.
Epidemiologist
Epidemiologist
Epidemiologists use their skills in probability and statistics to study the distribution and determinants of health-related states or events in specified populations. This course will provide a strong foundation in probability theory, which will help epidemiologists better understand and analyze data. This course may be useful for someone seeking a career as an epidemiologist, as it covers topics such as binomial distributions and Bayes' Rule.
Biostatistician
Biostatistician
Biostatisticians use their skills in probability and statistics to design and conduct studies, as well as analyze and interpret data in the field of biology. This course will provide a strong foundation in probability theory, which will help biostatisticians better understand and analyze data. This course may be useful for someone seeking a career as a biostatistician, as it covers topics such as binomial distributions and Bayes' Rule.
Software Engineer
Software Engineer
Software engineers use their skills in probability and statistics to develop and implement software systems. This course will provide a strong foundation in probability theory, which will help software engineers better understand and analyze data. This course may be useful for someone seeking a career as a software engineer, as it covers topics such as binomial distributions and Bayes' Rule.
For more career information including salaries, visit:
OpenCourser.com/course/os42ys/probabilit
Reading list
We've selected 13 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Probability.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in engineering and science. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a clear and concise introduction to probability theory. It covers the basics of probability, including probability distributions, conditional probability, and Bayes' Theorem.
Provides a comprehensive introduction to mathematical statistics, with a focus on applications in the social and life sciences. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Save
Provides a rigorous introduction to probability theory. It covers the basics of probability, including probability distributions, conditional probability, and Bayes' Theorem.
Provides a comprehensive introduction to probability and mathematical statistics. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in engineering. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in computer science. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability, with a focus on applications in data science. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in R. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in finance. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in the sciences. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in the social sciences. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
Provides a comprehensive introduction to probability and statistics, with a focus on applications in the humanities. It covers a wide range of topics, including probability theory, statistical inference, and regression analysis.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/os42ys/probabilit
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Time
600 hours
Level
Introductory
Via
Udacity
Instructors
Sebastian Thrun
Josh Bernhard
Language
English
Good to know
Explores core concepts in probability, which is foundational for advanced math & statistics
Taught by Sebastian Thrun, a respected innovator & researcher. Josh Bernhard provides additional expertise
Examines a sequence of fundamental probability concepts, including Binomial Distribution, Bayes' Rule
Suitable for learners with basic mathematical knowledge seeking a solid understanding of probability
Requires a strong understanding of basic probability
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