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Independent Events and the Direct Product Rule

How to recognize when the outcome of one event leaves the probability of another unchanged, and how to compute the joint probability of two such independent events as P(A and B) = P(A) * P(B).

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Probability Formulae for Independent and Dependent Events in Probability Theory without Replacement

The abstract theory defines event dependence in probability space through conditional probabilities governed by sampling without replacement. It establishes that for dependent events $A$ and $B$, the…