HMMT November 2010 F10
- General 2
- Answer
Justine has a coin which will come up the same as the last flip of the time and the other side of the time. She flips it and it comes up heads. She then flips it 2010 more times. What is the probability that the last flip is heads?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3^{2010}+1}{2 \cdot 3^{2010}}
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