26 lines
568 B
TeX
26 lines
568 B
TeX
\section{Introduction}
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\generic{Setup:}
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Suppose we toss a 6-sided die $n$ times. \par
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It is easy to detect the first time we roll a 6. \par
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What should we do if we want to annouce the \textit{last}?
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\problem{}<lastl>
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Given $l \leq n$, what is the probability that the last $l$
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tosses of this die contain exactly one six?
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\vfill
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\problem{}
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For what value of $l$ is the probability in \ref{lastl} maximal?
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\vfill
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\problem{}
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Finish your solution: \par
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In $n$ rolls of a six-sided die, how do we (most reliably) detect the last time we roll a 6?
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\vfill
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\pagebreak |