All Fermi answers
Fermi #67 · Question 2

How many vending machines are in Japan?

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

2QUESTION 2 OF 3

Answer & explanation

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

Vending machines on a Japanese street

Vending machines on a Japanese street

Two red Coca-Cola vending machines outside a ramen shop in Japan, with a cyclist riding past

Illustration from Fermi.gg

Answer & explanation

Official answer

3,900,000

machines

How to estimate it

Fermi’s official “Napkin math”

Start with Japan's population, about 125 million. Japan is famous for machines on every block. How many people share one? Maybe 1 for every 30.

Japan population
125,000,000
People per machine
~30
125M ÷ 30
≈ 4 million

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

Source calculation & reference
Japan population
≈ 124 M
Density
≈ 1 per 32 people
124,000,000 ÷ 32
≈ 3.9 million

Reference cited by Fermi: Japan Vending System Manufacturers Association (JVMA), Dec 2024

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