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Conditional Probability: What Does "Given" Really Mean?
You glimpse a blue die face. The chance it's a 6 isn't 1 in 6 — it's 1 in 3. Here's why. Conditional probability updates a probability when you learn something new. The bar in P(F given E) means "restrict the world to E": you zoom into E, and P(F given E) = P(E and F) divided by P(E). On a die where the even faces are blue, knowing the face ...
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