What Are the Chances? Probability Made Clear

Course Description
Explore the essential principles and fascinating applications of probability in this fun and engaging course taught by an award-winning mathematician. Learn how randomness shapes science, finance, genetics, and daily decision-making, while uncovering surprising and counterintuitive probability phenomena.

What You’ll Learn in the Course

• Core concepts of randomness and probability.

• Practical applications in science, finance, and genetics.

• Counterintuitive problems such as the Monty Hall dilemma and the birthday paradox.

• The power of Bayesian probability and its impact on reasoning.

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Lessons

01: Our Random World – Probability Defined (33 min)
Introduction to randomness, probability laws, and their central role in science, games, and business.

02: The Nature of Randomness (31 min)
Explore unpredictability in individual results and predictability in large datasets through probability theory.

03: Expected Value – You Can Bet on It (31 min)
Understand expected value as a tool for evaluating probabilistic outcomes in games and investments.

04: Random Thoughts on Random Walks (31 min)
Examine random walks to analyze patterns in voting, nature, and gambling.

05: Probability Phenomena of Physics (31 min)
See how probability is applied in quantum mechanics and weather forecasting.

06: Probability Is in Our Genes (29 min)
Learn how genetics and evolution are modeled through probability and genetic drift.

07: Options and Our Financial Future (31 min)
Discover how probability is applied in stock options and financial risk analysis.

08: Probability Where We Don’t Expect It (31 min)
Uncover surprising roles of probability in prime numbers, sports, and training animals.

09: Probability Surprises (31 min)
Dive into famous counterintuitive examples such as the birthday problem and Monty Hall scenario.

10: Conundrums of Conditional Probability (30 min)
Learn the challenges of conditional probability and how information changes event likelihoods.

11: Believe It or Not – Bayesian Probability (30 min)
Explore Bayesian probability as a way to measure belief and update probabilities with new evidence.

12: Probability Everywhere (32 min)
Conclude with Bayesian paradoxes, real-world applications, and the overall importance of probability.