EE 126 : Problem Set # 2 - Solutions Instructor

Problem 1a. Ω = {T,H} b. Let set A = {1, 2, 3, ..., N} be the set of N balls numbered 1 to N. We have two choices for Ω. In the first choice, an outcome specifies which ball was picked first and which was picked second. With this choice, Ω = Ω1 := {(x, y) | x, y ∈ A, x 6= y}. In the second choice, an outcome only specifies the two balls that were picked, but not their order. With this choice, Ω = Ω2 := {{x, y} | x, y ∈ A, x < y}. c. Let set A be the set of N element numbered 1 to N A = {1, 2, 3, ..., N} Ω = {B | B ⊆ A} = 2