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Re:Chromebooks will get 10 years of automatic updates by nordsieck on Thursday September 14, 2023 @03:31PM (#37513712)
> The second sentenxe doesn't follow the first - it's a flavor of Zeno's paradox, after 5 years, you'll be left with 4/5 x 4/5 x 4/5 x 4/5 x 4/5 of the original batch.

You made a mistake: it's not that 1/5 of the computers spontaneously break every year. It's that 1/5 of the students treat their computers roughly.

Assuming that laptops get collected over the summer and re-distributed each year, you should actually expect that 100% of each tranche of laptops would need to be replaced every 5 years.

Re:Chromebooks will get 10 years of automatic updates by TJSomething on Thursday September 14, 2023 @04:10PM (#37514197)
I don't understand how that math could work. Assuming random assignment, the probability that a given computer is given to a one of those students is identical from year to year.
Re:Chromebooks will get 10 years of automatic updates by nordsieck on Thursday September 14, 2023 @04:21PM (#37514336)
> I don't understand how that math could work. Assuming random assignment, the probability that a given computer is given to a one of those students is identical from year to year.

That's fair. I guess, it's more accurate to say that you'd expect a number of laptops equal to the size of the initial tranche to be destroyed after the first 5 years.

Although if I was running IT, it'd definitely keep track of the "destructive" students and issue them the oldest equipment, in which case, we'd be back to something closer to my original statement.