Consider tossing a fair coin repeatedly and define (H_{n}) to be the event that the (n^{text {th
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Consider tossing a fair coin repeatedly and define \(H_{n}\) to be the event that the \(n^{\text {th }}\) toss of the coin yields a head. Prove that
\[P\left(\limsup _{n ightarrow \infty} H_{n}ight)=1,\]
and interpret this result in terms of how often the event occurs.
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