Let A1, A2, A3 be events satisfying 0 < P(Ai) < 1 for i = 1, 2, 3. Which of the following statements is true? 

1
P(A1 | A2) P (A2 | A3) ≤ P(A1 | A3)
2
P(A1 | A2) P (A3 | A2) ≥ P(A1 ∩ A3 |A2)
3
P(A1 | A2) P (A3 | A2) ≥ P(A1 ∪ A3 |A2)
4
P(A1 | A2) + P (A2 | A3) ≤ P(A1 | A3)

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