Medical insurance statuscovered (C) or not covered (N)is determined for each individual arriving for treatment at a hospital's emergency room. Consider the chance experiment in which this determination is made for two randomly selected patients.

The simple events are O₁ = (C, C), meaning that the first patient selected was covered and the second patient selected was also covered, O₂ = (C, N), O₃ = (N, C), and O₄ = (N, N). Suppose that probabilities are P(O₁) = 0.81, P(O₂) = 0.09, P(O₃) = 0.09, and P(O₄) = 0.01.

(a)What simple events are contained in A, the event that at most one patient is not covered?

A = {(C, C), (C, N), (N, N)}A = {(C, C), (N, C), (N, N)}

A = {(C, N), (N, C)}

A = {(C, N), (N, C), (N, N)}

A = {(C, C), (C, N), (N, C)}

Calculate P(A).P(A) =

(b)What simple events are contained in B, the event that the two patients have different statuses with respect to coverage?

B = {(C, C), (C, N)}

B = {(C, C), (N, N)}

B = {(C, N), (N, C)}

B = {(C, N), (N, N)}

the empty setCalculate P(B).P(B) =