Infer the Factory from Two Black Widgets

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Quick Overview

Use Bayes' rule to identify a factory after observing two black widgets. The solution combines equal priors with factory-specific two-draw likelihoods, derives a posterior probability of 1/10 for Factory B, and explains why the independent-sampling assumption matters.

Infer the Factory from Two Black Widgets

Company: SIG (Susquehanna)

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Online Assessment

Overview: Use Bayes' rule to identify a factory after observing two black widgets. The solution combines equal priors with factory-specific two-draw likelihoods, derives a posterior probability of 1/10 for Factory B, and explains why the independent-sampling assumption matters.

Read the full SIG (Susquehanna) Data Scientist interview experience this question came from

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SIG (Susquehanna)
Aug 16, 2026
easyData ScientistOnline AssessmentStatistics & Math
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