Fermi Sizing Exercise: Dentist Count for New York

Estimate the number of dentists in New York. Lay out how you structure the estimate, call out each assumption, and end with a figure and a sense of how confident you are in it. ```hint Choose a side of the market Decide whether you will build the number up from how much dental care people consume or from how many practices exist, and make the unit you divide by explicit (visits, hours or patients per dentist per year). ``` ### Clarifying Questions - Does "New York" mean New York City (the five boroughs) or New York State? - Should the count include every licensed dentist or only those actively treating patients? - Do specialists such as orthodontists and oral surgeons count, and are dental hygienists excluded? - How precise does the answer need to be: an order of magnitude, or within a factor of two? ### What a Strong Answer Covers - A scoped definition of "New York" and of who counts as a dentist, settled before any arithmetic - A top-line equation that links dental demand or supply to the number of dentists - Labeled, round assumptions, each with a one-line rationale grounded in how dental care is actually delivered - Arithmetic that is correct, unit-consistent and easy to follow - A sanity check from a second angle, a final range, and how the answer would shift under the other scope ### Follow-up Questions - Which single assumption moves your answer the most, and how would you tighten it? - What public or proprietary data would you use to check the number? - How would your approach change if you were asked for the number of dental offices instead of dentists?