Question: In the estuary deposition example in Section 2.1, what would be the impact on the posterior probability had the tribunal taken an impartial stance regarding

In the estuary deposition example in Section 2.1, what would be the impact on the posterior probability had the tribunal taken an impartial stance regarding the merits of the two competing hypotheses, before hearing further evidence?

.6 For three events A, B, and C, where A is sampled from one population and B and C are both sampled from another separate population, show that Pr[(A and B)
or (A and C)] = Pr(A)[Pr(B) + Pr(C)]. (This result is used in the answer to Problem 4.6.)

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