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Leftover Must Sum to 1#1 · about 12 minConditioning Zooms the Leftover#2 · about 14 minBayes Reallocates Leftover#3 · about 14 minA Random Variable Names the Leftover#4 · about 12 minExpectation Mixes the Outcomes#5 · about 14 minVariance Is Spread of Leftover#6 · about 14 minDensity Is Leftover per Length#7 · about 11 minJoint Tables Split Leftover Two Ways#8 · about 14 minNamed Families ML Actually Uses#9 · about 13 minIndependence Is a Product#10 · about 12 minMLE Makes the Data Most Probable#11 · about 11 minMAP Spends a Prior on Leftover Belief#12 · about 14 minKL Is Leftover Surprise Between Guesses#13 · about 12 minSoftmax Turns Scores into Leftover#14 · about 11 minAverages Concentrate#15 · about 12 minMarkov Leftover and Nested Expectation#16 · about 12 min
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Courses›Joint Tables Split Leftover Two Ways

Joint Tables Split Leftover Two Ways

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Joint Tables Split Leftover Two Ways

A joint table splits one budget over pairs of outcomes. A marginal adds tiles along one axis; a conditional zooms into one strip: P(spam | free) = 0.30 / 0.40 = 0.75. A secondary table exposes swapped conditionals (0.8333 vs 0.625).

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