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Every time a farmer dips a bucket into the well, it comes back with a random amount of water uniformly distributed between 0 and 1 liter, which his cow then drinks. The farmer stops once the cow has consumed more than 1 liter. On average, how many times will the farmer need to dip his bucket into the well before stopping?

Quantitative Researcher

Interviewed at Agitprop

Aug 4, 2024

Every time a farmer dips a bucket into the well, it comes back with a random amount of water uniformly distributed between 0 and 1 liter, which his cow then drinks. The farmer stops once the cow has consumed more than 1 liter. On average, how many times will the farmer need to dip his bucket into the well before stopping?

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