The-expected-number-of-values-drawn-fromthe-interval-0-1-at-random-if-the-sum-ofthe-values-drawn-so-far-is-less-than-1-is-too-cntinue-drawing-what-is-the-expectede-numbr-of-draws-

Question Number 212918 by MrGaster last updated on 26/Oct/24

$$\mathrm{The}\:\mathrm{expected}\:\mathrm{number}\:\mathrm{of}\:\mathrm{values}\:\mathrm{drawn}\: \\ $$$$\mathrm{fromthe}\:\mathrm{interval}\left[\:\mathrm{0}\:,\mathrm{1}\right]\:\mathrm{at}\:\mathrm{random}\:\mathrm{if}\:\mathrm{the}\:\mathrm{sum}\: \\ $$$$\mathrm{ofthe}\:\mathrm{values}\:\mathrm{drawn}\:\mathrm{so}\:\mathrm{far}\:\mathrm{is}\:\mathrm{less}\:\mathrm{than}\:\mathrm{1},\:\mathrm{is}\:\mathrm{too} \\ $$$$\mathrm{cntinue}\:\mathrm{drawing}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{expectede} \\ $$$$\mathrm{numbr}\:\mathrm{of}\:\mathrm{draws} \\ $$

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