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Perplexing Probability

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Perplexing Probability provided by Brilliant is a comprehensive online course, which lasts for 4 hours worth of material. Upon completion of the course, you can receive an e-certificate from Brilliant. The course is taught in Englishand is Paid Course. Visit the course page at Brilliant for detailed price information.

via Brilliant
4 hours worth of material
Self Paced
Overview

  • 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.

Syllabus

    • Introduction: Don't expect to get all of these questions correct – some of them initially stump almost everyone.
      • Gaming Strategies: Learn some quick "pro tips" for solving probability puzzles.
      • Probability is Everywhere: Discover some counter-intuitive results when you applying probability to these real-life scenarios!
      • Exposing Misconceptions: Challenge yourself with probability puzzles that trip up plenty of experts.
    • Survive This Chapter: Dodge death by poison, Russian roulette, and a crazy prison warden.
      • Poisoned Fruit: Get started with dependent probability ... and avoid the poison!
      • The Crazy Warden: Outwit the warden and try to survive.
      • Russian Roulette: Tricky conditions can make survival hard to calculate.
      • Spin or Shoot?: Should you try your luck or spin first?
      • The Warden Returns: What are the best strategies for these collaborative team challenges?
    • Brain-Warping Probability: Most people's intuitions about the odds of winning these games are wrong.
      • The Monty Hall Game: The famous mind-bender: find the car and avoid the man-eating goat!
      • More Man-Eating Goats: What happens when Monty Hall has a lot more doors?
      • The Boy-or-Girl Paradox: A small change of conditions can make a big difference.
      • Tuesday Changes Everything: Explore this counterintuitive twist to the Boy-or-Girl Paradox.
      • Bayes' Theorem Magic: This formula explains the behavior of many dependent probability scenarios.
    • Crazy Mad Dice: Custom crafted competitive craziness.
      • Crazy Dice Warmup: See what happens when the dice don't read 1 to 6 anymore.
      • Competitive Design: Design your own dice and try to beat your friends.
      • Beating a Standard Die (I): Under what conditions can you beat a regular die?
      • Beating a Standard Die (II): Explore more scenarios that match a custom die against a standard one.
      • 3-Player Competitions: Add a third player for added perplexity.
      • Non-Transitive Superiority: When A beats B and B beats C, does A always beat C?

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