don’t ask why it just came in my head

*Quandary*

So you have a fair coin that you found on the ground,

or at least that’s what everyone says.

But on each of N times that you’ve tossed it around,

you see every flip has been heads.

For which value of N should you start to suspect

that the coin isn’t actually fair?

For which values of N can you firmly declare

that the tails side is not even there?

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*Related*

## Published by Evan Chen (陳誼廷)

I am a math olympiad coach and a PhD student at MIT.
View all posts by Evan Chen (陳誼廷)

Very funny comment, lmao.

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So does it really have a solution? :3

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https://en.wikipedia.org/wiki/Solomonoff%27s_theory_of_inductive_inference is one way of formalizing why seeing all-heads should be surprising compared to any of the other 2^n possible sequences of H/T.

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