# Construction of a probability space.

Q. Exhibit (if such exists) a probability space, denoted by (Ω, A, P[·]), which satisfies the following. For A1 and A2 members of A, if P[A1] = P[A2], then A1 = A2.

Answer: A = {Ω, ∅}, P[Ω] = 1 and P[∅] = 0. Is this a valid answer to the above question?

haruspex
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Looks ok to me.

Looks ok to me.

Thank you, haruspex!

mathman