4. Let P,- where i = 1, 2, . . . be an innite sequence of events from the sample space 0. Let F be the set of points that are in all but a nite number of the events Ff. Prove that F = U311 k Ff. Make sure that the proof is done carefully: First, take a point to from F and show that it is in U211 0;; F5. Second, take a to point from U211 0?; F5 and show that it is in F