1. Consider a random permutation of the set {1, 2,3, 4}, and let E;, be the event that i appears before j. For example, in the permutation 2,3,1,4, events E24 and E3,1 occurred, but E1,2 did not. Find: (a) P(El,2), (b) P(E12|Es,4), briefly explain the relation to part (a), (c) P(E12|E13), explain the relation to part (a), (d) P(E1,2|El,3) for a random permutation is of { 1,, ..., n} where n > 3