Roll a die twice and record the two outcomes let e1 the, Basic Statistics

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Roll a die twice and record the two outcomes let e1 the

Question: Roll a die twice and record the two outcomes. Let E₁ = {the sum of the two outcomes is 7}, E₂={the outcome of the first roll is 3}, E₃={the outcome of the second roll is 4}. Show that E₁, E₂, E₃ are pairwise independent but (2.6.4) does not hold.

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