Question: Assume that John will live forever. He plays a certain game each day. Let Ai be the event that he wins the game on the

Assume that John will live forever. He plays a certain game each day. Let Ai be the event that he wins the game on the ith day. (i) Let B be the event that John will win every game starting on January 1, 2035. Label the following statements as true or false:

(a) B = lim inf An.

(b) B ⊂ lim inf An.

(c) B ⊃ lim sup An.

(d) B = lim sup An.

(ii) Assume now that John starts playing on a Monday. Match the following events C1 through C9 with events D1 through D11:

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