Recall the union bound from Lemma 1.2. Let E,- denote the complement of Ei. Show Pr ( E) 2 1 ZPr (13,-). 1'21 1'21 _V_/ LHS RHS Let LHS and RHS denote the left hand side and right hand side, respectively, of this equation. Hint: you may use the identity A H B = A U B, and a similar result for E1, . . . , Ek. Note that the third choice here has a typographical correction from what you saw on the HW document. The subscript on the E is a lowercase i here, as it should be, rather than an upper-case I. As you answer this question, use what you see here rather than what you saw on the HW document. Which of the following arguments proves the claim? 0 LBS 2 1'1 (1 i Pr (E,)) 2 RES 0 LBS = 2,2, Pr (13,-) 2K]. Pr (E, n E) +34.\" Pr (E,- n E, n E.) . .. 2 RES LHS = 1 Pr (L),21 E.) 2 RES 0 LEE = 1 11,21 Pr (13,-) 2 RES 0 none of these