Find the Color Probability After Discarding Cards

Quick Overview

A standard 52-card deck has 26 red and 26 black cards and is uniformly shuffled. Explain the assumptions and derivation clearly, check edge cases, and show how the result changes when those assumptions no longer hold.

Find the Color Probability After Discarding Cards

Company: Optiver

Role: Software Engineer

Category: Statistics & Math

Difficulty: hard

Interview Round: Technical Screen

Overview: A standard 52-card deck has 26 red and 26 black cards and is uniformly shuffled. Explain the assumptions and derivation clearly, check edge cases, and show how the result changes when those assumptions no longer hold.

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Optiver
May 24, 2026
hardSoftware EngineerTechnical ScreenStatistics & Math
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