An unexpected result involving sums of random numbers

[Gerson W. Barbosa]

(02-28-2023 07:50 PM)Valentin Albillo Wrote:  .
Hi, Gerson,

(02-28-2023 06:41 PM)Gerson W. Barbosa Wrote:  How many random numbers in the interval [0, 1) are required to add up to 1 or higher, in average?

Excuse me, Gerson, not to rain on your parade or anything but isn't this the same thing I recently discussed in my Concoction the First: Weird limit sub-challenge ?

Hello, Valentin,

Indeed it is, albeit this is only the first part of #1. I did participate in that one, but I had completely forgotten about it. I only tried to address #6 and overlooked all the rest, it seems.
I read about this subject one of these days, in a short note in Prime Obsession, a book by John Derbyshire and decided to check it out. I checked also for 2, e and pi, but except for the first one I was unable to identify the constants.
Anyway, we can consider this a (very) belated solution to that particular nice sub-challenge of yours :-)

Best regards,

Gerson.