Math — Probability
Addition rule, conditional probability, Bayes' theorem and expectation.
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P(A\cup B) = P(A) + P(B) - P(A\cap B)
P(A\mid B) = \frac{P(A\cap B)}{P(B)}
P(A\mid B) = \frac{P(B\mid A)P(A)}{P(B)}
E[X] = \sum_i x_i\,p_i