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Foundations of Probability
Set Theory & Combinatorics
Conditional & Bayesian Probability
- Conditional Probability
- Bayes’ Theorem
Random Variables & Distributions
Discrete Distributions
Continuous Distributions
- Uniform and Normal Distributions
- Exponential, Gamma, and Beta
Distributions & Theorems
- Central Limit Theorem
Frequentist Inference
Advanced Probability Tools
Bayesian Inference
Regression Analysis

What is Probability?

Test your knowledge

A doctor tells a patient, "There is a \( 90\% \) chance you'll recover with this treatment." What does this statement illustrate about the use of probability in reasoning under uncertainty?

The doctor guarantees the patient will recover.

The doctor is expressing a belief based on data, while acknowledging there's still a \( 10\% \) chance of not recovering.

The doctor is unsure and refuses to make any prediction.

The doctor thinks the outcome is equally likely to go either way.

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Next: Theoretical vs Empirical Probability

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