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Sum Over Min Die

This is an application of the ratio distribution $f(Z)$, $Z=X/Y$. You are looking for $\mathrm{E}\left(X/Y\right)$. Here, $X$ and $Y$ are independent, thus: $$ \mathrm{E}(X/Y)=\mathrm{E}(X)\mathrm{E}(...
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two guys flip fair coins until they obtain their first heads. it takes strictly fewer flips for one to get his first heads than the other

Disclaimer: This is just a long comment and not an answer. My suggestion is that when stuck with these sort of problems you might find large language models helpful, but definitely use with caution. ...
autoencoder's user avatar

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