Probability Theory 3 Probability Measures

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At minute 10:20, you say that the numerator is the "portion of B that is in B complement", but that doesn't make any sense, as B complement is what is not in B (and vice-versa). You probably meant the "portion of A that is in B complement" (i.e. the intersection between A and B complement). At the end of the video, you also say that being disjoint is the opposite of being independent, but I don't think that's true. You can have disjoint events that are independent, provided that the marginal probability of A or B is zero.

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Bonferroni's inequality stated at 7:00 seems wrong. Counterexample: A=B=empty set