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Data Interview Question

Selecting the Highest Value Artwork

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Requirements Clarification & Assessment

  1. Understanding the Problem:

    • You are presented with a sequence of 100 unique artworks, each with a distinct monetary value.
    • The artworks arrive in a random order, and you can only view each artwork once.
    • The goal is to select the artwork with the highest value, but you can only make one selection.
  2. Constraints & Rules:

    • Once you pass an artwork, you cannot return to it.
    • You are allowed to make only one selection.
  3. Objective:

    • Maximize the probability of selecting the artwork with the highest value.
  4. Clarifications Needed:

    • Is there a time limit for making the selection?
    • Are there any penalties for selecting an artwork with a lower value?
    • Is there any prior information about the distribution of artwork values?
  5. Assumptions:

    • The sequence is truly random, with no predictable pattern.
    • The values of the artworks are distinct and known only upon viewing.
    • There is no external assistance or additional information available.