Question: Generalizing the scheme of Problem 4.6.1, let pt be the probability of choosing size tfor subset St {1, ...,N}, 1 t N.

Generalizing the scheme of Problem 4.6.1, let pt be the probability of choosing size tfor subset St ⊂ {1, ...,N}, 1 ≤ t ≤ N. After choosing t, subset St is selected at random, and all events with indices in St occur while other events do not. (i) Argue that events A1, ...,AN are exchangeable. (ii) Find probabilities P(Ac 1) and P(A1 ∩ A2).

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