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Let = {1, 2, 3, 4} and consider the set A = {, , {1}, {2, 3}}. (a) Show that A is not an event

Let = {1, 2, 3, 4} and consider the set A = {, , {1}, {2, 3}}.

(a) Show that A is not an event space (or a -algebra).

(b) Find a subset E of such that {, , {1}, {2, 3}, E} is an event space (or a -algebra).

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