Quant Interview Question #quant

quantprof · Beginner ·💰 FinTech & AI for Finance Professionals ·1w ago
Skills: Maths for ML80%

Key Takeaways

Solving a quant interview question involving probability and geometry, specifically calculating the expected length of a circle's circumference that remains unpainted after 10 people paint arcs between themselves and their nearest neighbors.

Full Transcript

Consider a circle of radius 1. 10 people are placed independently and uniformly at random along its circumference. Each person then paints the arc between themselves and their nearest neighbor along the circle. So, some parts of the circumference may be painted more than once. What is the expected length of the circumference that remains unpainted? Post your answers in comments.

Original Description

Can you solve this quant interview question?
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This video teaches how to approach a quant interview question involving geometric probability and expected value calculation. The problem requires breaking down the scenario into manageable parts and applying probability concepts to find the expected length of the unpainted circumference.

Key Takeaways
  1. Define the problem and identify key elements
  2. Determine the probability distribution of the painted arcs
  3. Calculate the expected length of the painted arcs
  4. Find the expected length of the unpainted circumference
💡 The expected length of the unpainted circumference can be found by considering the probability distribution of the painted arcs and applying geometric probability concepts.

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