Skills › Mathematical Foundations

Probability & Statistics

Apply probability theory and statistical reasoning to data problems.

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After this skill you can…

  • Calculate conditional probability and Bayes' theorem
  • Interpret confidence intervals and p-values
  • Apply common distributions (Gaussian, Bernoulli, Poisson)

Watch (10 videos)

Detecting Power Laws in Real-world Data | w/ Python Code
Shaw Talebi · beginner hands-on
→ Apply statistical concepts to real-world data
Introduction to Probability: Student's T Distribution
365 Data Science · beginner hands-on
→ Calculate the variance of the Student's T Distribution→ Determine the degrees of freedom for a given distribution→ Identify the differences between the Student's T Distribution and the normal distribution
Probability: Types of Distributions
365 Data Science · beginner hands-on
→ Apply probability distributions to real-world problems→ Analyze data using statistical methods→ Understand AI safety concepts
Learn Probability & Statistics with Interactive Simulations
Analytics Vidhya · beginner hands-on
→ Calculate conditional probability→ Understand random variables and their applications
R Tutorial: Flipping coins in R
DataCamp · beginner hands-on
→ Understand probability distributions→ Model real-world events with probability
R Tutorial: Monty Hall
DataCamp · beginner hands-on
→ Analyze game theory problems→ Understand probability distributions
5 Probability Distributions you should know as a Data Scientist
CodeEmporium · beginner hands-on
→ Apply probability distributions to data science problems→ Understand the assumption of normality→ Use Monte Carlo simulations in practice
The Main Ideas behind Probability Distributions
StatQuest with Josh Starmer · beginner hands-on
→ Understand probability distributions→ Approximate probabilities using curves
Probability Theory Made Easy: From Basics to Advanced (with Memory Song!)
EZIKAN ACADEMY · beginner hands-on
→ Calculate probability using additive and multiplicative laws→ Apply probability theory to real-world problems
Probability Part 2: Updating Your Beliefs with Bayes: Crash Course Statistics #14
CrashCourse · beginner hands-on
→ Apply Bayes' theorem to update beliefs→ Analyze data using Bayesian statistics

Read (10 articles)

📄
How Bayesian Networks Work — Graphs, Probability, and Inference
Dev.to · shangkyu shin · 2026-05-07
📄
Math for Machine Learning: Series 3 — Probability & Statistics
Medium · Machine Learning · 2026-06-18
📄
Amoeba Extinction Probability: The Branching Process Solution
Dev.to · White Oak Intelligence · 2026-05-31
📄
The Monty Hall Problem: Why Switching Wins 2/3 of the Time
Dev.to · White Oak Intelligence · 2026-05-31
📄
The Importance of Probability in Data Science
Hacker News · unripe_syntax · 2023-02-22
📄
Probabilistic Artificial Intelligence
Hacker News · pavanto · 2025-03-10
📄
Can You Solve This MIT Probability Puzzle?
Medium · Data Science · 2026-07-05