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Understanding Conditional Expectation: Iterated Expectation, Adam's Law, and Eve's Law

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Jimmy's newfound knowledge of conditional probability serves him well as he seeks to understand an advertiser's claims about the special properties of their bottled water.
The Variation in the River Stats [Conditional expectation animation, with Adam's law and Eve's law]
The Variation in the River Stats [Conditional expectation animation, with Adam's law and Eve's law]