Estimation question
How many dollar bills are in circulation in the US?
- Capital One
- Estimation
- Easy
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What this question tests
Tests structured Fermi estimation using per-capita cash-holding assumptions rather than trying to recall a real statistic.
How to approach it
- Frame it as US population times an estimated number of bills held per person, across wallets, registers and hoarded cash.
- Assume a US population of roughly 330 million.
- Assume the average person carries or holds around 10 to 15 physical bills at a time across denominations, say 12 as a working assumption.
- Add a multiplier for cash sitting outside individual wallets, in business tills, ATMs and hoarded savings, roughly doubling the per-person figure to around 24.
- Multiply: 330 million times about 24 bills gives roughly 8 billion bills in circulation, stated clearly as an assumption-based estimate.
What a strong answer includes
- States every assumption explicitly, average bills held and the business-cash multiplier, rather than presenting a guess as fact.
- Separates personal cash from business and hoarded cash as two distinct pools, which meaningfully changes the estimate.
- Shows the multiplication clearly so an interviewer can follow and challenge any step.
Common mistakes
- Guessing a round number with no shown reasoning or stated assumptions.
- Ignoring that a large share of cash sits outside individual wallets in tills, vaults and hoarding.
Likely follow-up questions
- How would this estimate change if you accounted for denomination mix, more $1 bills than $100 bills?
- How would you sanity-check this against a number you might recall, like total currency value in circulation?
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Learn the skill behind it
Chapters of the AI PM course that teach what this question tests.
- Chapter 2: Data fluency: SQL, logs, and reading the truth yourself
- Chapter 9: Prove it paid off: outcomes, economics, and pricing
- Chapter 14: Get the job: the AI PM interview loop