All Fermi answers
Fermi #12 · Question 1

How long would it take to stay one night in every hotel room in Las Vegas?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

411

years

How to estimate it

Fermi’s official “Napkin math”

Vegas is packed with giant hotels. Picture 30-odd mega resorts at roughly 3,000 rooms each, plus all the smaller places. Call it 150,000 rooms. One night each, split over 365 days a year.

Vegas hotel rooms
~150,000
One night each
÷ 365/yr
150,000 ÷ 365
≈ 410 yrs

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Hotel rooms in Las Vegas
≈ 150,000
One night per room
150,000 nights
÷ 365
≈ 411 years

Reference cited by Fermi: LVCVA room inventory

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