50. If is a sequence of events then is defined as the set of points that are...

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50. If is a sequence of events then is defined as the set of points that are in an infinite number of the events ;

and is defined as the set of points that are in all but a finite number of the events .

(a) If is an increasing sequence of events, show that

(b) If is a decreasing sequence of events, show that

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