Quant Interview Question #quant

quantprof · Beginner ·💰 FinTech & AI for Finance Professionals ·2w ago

Key Takeaways

Solving a quant interview question involving probability and geometry, specifically the formation of acute triangles from randomly placed points on a circle's circumference.

Full Transcript

Points are placed independently and at random on the circumference of a circle, with each point equally likely to be anywhere on the circumference. We stop as soon as three of the points placed so far form an acute triangle. What is the expected number of points placed before the process stops? Post your answers in comments.

Original Description

Can you solve this quant interview question?
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This video teaches how to approach and solve a quant interview question involving the probability of forming an acute triangle from randomly placed points on a circle's circumference. The question requires understanding of geometric probability and expected value calculation.

Key Takeaways
  1. Understand the problem statement and what is being asked
  2. Identify the key elements: random points on a circle, formation of an acute triangle
  3. Determine the conditions for three points to form an acute triangle
  4. Calculate the probability of forming an acute triangle with three points
  5. Calculate the expected number of points needed before the process stops
💡 The solution involves understanding that the probability of three points forming an acute triangle is related to the distribution of these points on the circle and calculating the expected value based on this probability.

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