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Let H (Heads) and T (Tails) denote the two outcomes of a random experiment of tossing...

Let H (Heads) and T (Tails) denote the two outcomes of a random experiment of tossing a fair coin. Suppose I toss the coin infinite many times and divide the outcomes (which are infinite sequences of Heads and Tails) into two types of events:

(a) the portion of H or T of is exactly one half (e.g.HTHTHTHT... or HHTTHHTT...)

(b) the portion of H or T is not one half (i.e. the complement of event (a). e.g. HTTHTTHTT...). What are the probabilities for events (a) and (b), respectively?

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