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Analytics & Experimentation questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master analytics & experimentation interviews.

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This is a medium difficulty Analytics & Experimentation question, commonly asked during Onsite rounds at Meta.

What role is this question designed for?

This question is commonly asked for Data Scientist candidates at Meta during technical interviews.

Expected round of first selection in repeated sampling

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a data scientist's understanding of probability theory, sampling without replacement, and expected value computation as applied to repeated random selection.

Random Perk Selection: Expected First Round

Scenario

There are 1,000 employees.
Each round, 10 distinct employees are selected at random for a perk.
No one can be selected twice before everyone has had a chance (sampling without replacement across rounds).

Question

On average, in which round do you expect to be selected for the first time? (Hint: hypergeometric reasoning applies because selection is without replacement.)

Solution

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