If odds of an event is $80\%$, how many events needed until you get $n$ consecutive events?

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Odds of hitting a home run is $80\%$.

You get $1$ at-bat per day.

How long can you expect it will it take to finally get a streak of $30$ home runs?

Does this relate to geometric probability?

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$P(30 HRs) = .8^{30} $

$E(x) = \frac{1}{p} = \frac{1}{.8^{30}} = 807 days $