HMMT 2016 U25
- Guts
- Answer
A particular coin can land on heads (H), on tails ( T ), or in the middle (M), each with probability . Find the expected number of flips necessary to observe the contiguous sequence HMMTHMMT...HMMT, where the sequence HMMT is repeated 2016 times.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3^{8068}-81}{80}
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