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Perplexing Probability
Flex your probability skills with some surprisingly counter-intuitive games and puzzles.
Exposing Misconceptions
Gaming Strategies
Probability is Everywhere
The Monty Hall Game
More Man-Eating Goats
The Boy-or-Girl Paradox
Tuesday Changes Everything
Bayes' Theorem Magic
Crazy Dice Warmup
Competitive Design
Beating a Standard Die (I)
Beating a Standard Die (II)
3-Player Competitions
Non-Transitive Superiority
Course description
Probability is full of counter-intuitive results and paradoxes. Challenge yourself by learning how to mathematically master some very surprising games and experiments including the Monty Hall game show, the Boy or Girl paradox, and the Tuesday paradox. Some prior knowledge of probability at the level of the Probability Fundamentals course is useful but not required for tackling this course.
Topics covered
- Bayes' Theorem
- Complementary Probability
- Conditional Probability
- Expected Value
- Probability Distributions
- Probability Misconceptions
- Russian Roulette Variants
- The Boy or Girl Paradox
- The Monty Hall Game
- The Tuesday Paradox