Quant Interview Question #quant

quantprof · Beginner ·⚡ Algorithms & Data Structures ·2w ago

Key Takeaways

Solving a quant interview question involving rolling four dice and placing them into two boxes to maximize the expected score, using probability and decision-making strategies.

Full Transcript

Four dice are rolled one at a time. Immediately after each die is rolled, you must decide whether to place it into the red box or the blue box. By the end, each box must contain exactly two dice. Your score is the sum of the numbers in the red box minus the sum of the numbers in the blue box. If you play optimally to maximize your score, what is your expected score? Post your answers in comments.

Original Description

Can you solve this quant interview question?
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This video teaches how to solve a quant interview question by applying probability concepts and decision-making strategies to maximize the expected score. The question involves rolling four dice and placing them into two boxes, and the goal is to calculate the optimal expected score.

Key Takeaways
  1. Roll the first die and decide which box to place it in
  2. Roll the second die and decide which box to place it in
  3. Roll the third die and decide which box to place it in
  4. Roll the fourth die and decide which box to place it in
  5. Calculate the sum of the numbers in each box
  6. Calculate the expected score by subtracting the sum of the numbers in the blue box from the sum of the numbers in the red box
💡 The key to solving this problem is to understand that the expected score is maximized when the highest numbers are placed in the red box and the lowest numbers are placed in the blue box.

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