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Probability a negative review came from a lazy reviewer

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a candidate's understanding of Bayesian inference and conditional probability, focusing on computing posterior probabilities using Bayes' theorem.

  • easy
  • Meta
  • Statistics & Math
  • Data Scientist

Probability a negative review came from a lazy reviewer

Company: Meta

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Onsite

Scenario: 20 % of reviewers never leave negative feedback; the rest are rigorous. If you see a negative review, what is the chance it came from a lazy reviewer? ​ Question 1: Lazy reviewers always rate positive (20 % share), careful reviewers 60 % positive (80 % share). If a review is negative, P(it is from lazy reviewer)? (Hint: posterior computation)

Quick Answer: This question evaluates a candidate's understanding of Bayesian inference and conditional probability, focusing on computing posterior probabilities using Bayes' theorem.

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Meta
Jul 12, 2025, 6:59 PM
Data Scientist
Onsite
Statistics & Math
26
0

Bayesian posterior: Did a negative review come from a lazy reviewer?

Context and assumptions

  • Reviewer types in the population:
    • Lazy reviewers: 20% of all reviewers; they never leave negative feedback (i.e., always positive).
    • Careful reviewers: 80% of all reviewers; they leave positive feedback 60% of the time and negative 40% of the time.

Question

Given that you observe a negative review, what is the probability it was written by a lazy reviewer? (Hint: use Bayes' theorem.)

Solution

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