Fermi estimate: count the windows across Tehran's homes and other buildings

Quick Overview

A Snapchat product manager estimation question asking for the number of windows in Tehran. It tests how a candidate defines what counts, builds an equation across homes, workplaces and schools, states round assumptions, does the arithmetic and sanity-checks the result.

Fermi estimate: count the windows across Tehran's homes and other buildings

Company: Snapchat

Role: Product Manager

Category: Product / Decision Making

Difficulty: medium

Interview Round: Other

Estimate how many windows there are in Tehran. Explain your structure and assumptions, and land on a single number. ```hint Pick a countable unit Find a unit you can tie directly to population and estimate the windows per unit. Then ask which buildings that unit leaves out. ``` ### Clarifying Questions - Does Tehran mean the city proper or the whole metropolitan area? - Should I count windows in all buildings or only in homes, and are vehicle windows excluded? - How should a window be counted: one framed opening however many panes it has, and what about storefront glass or the glass panels of office towers? ### What a Strong Answer Covers - A clear definition of what counts as a window and which area is in scope - An equation that separates homes from workplaces, schools and other buildings - Labeled assumptions with round numbers for population, household size and windows per unit, with correct arithmetic - A sanity check from another angle and a range that shows which assumption moves the answer most ### Follow-up Questions - Which single assumption changes your answer the most, and how would you check it quickly? - How would you adapt the model for a city whose housing is mostly detached houses rather than apartments? - If a window maker asked how many replacement windows Tehran needs each year, how would you extend this estimate?

Overview: A Snapchat product manager estimation question asking for the number of windows in Tehran. It tests how a candidate defines what counts, builds an equation across homes, workplaces and schools, states round assumptions, does the arithmetic and sanity-checks the result.

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Snapchat
Nov 8, 2024
mediumProduct ManagerOtherProduct / Decision Making
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Estimate how many windows there are in Tehran. Explain your structure and assumptions, and land on a single number.

Clarifying Questions Guidance

  • Does Tehran mean the city proper or the whole metropolitan area?
  • Should I count windows in all buildings or only in homes, and are vehicle windows excluded?
  • How should a window be counted: one framed opening however many panes it has, and what about storefront glass or the glass panels of office towers?

What a Strong Answer Covers Guidance

  • A clear definition of what counts as a window and which area is in scope
  • An equation that separates homes from workplaces, schools and other buildings
  • Labeled assumptions with round numbers for population, household size and windows per unit, with correct arithmetic
  • A sanity check from another angle and a range that shows which assumption moves the answer most

Follow-up Questions Guidance

  • Which single assumption changes your answer the most, and how would you check it quickly?
  • How would you adapt the model for a city whose housing is mostly detached houses rather than apartments?
  • If a window maker asked how many replacement windows Tehran needs each year, how would you extend this estimate?