Quant Interview Question #quant

quantprof · Beginner ·🔢 Mathematical Foundations ·5d ago

Key Takeaways

This video discusses a quant interview question involving probability and expected value, where the goal is to minimize the expected number of flips of eight coins with different probabilities of landing heads.

Full Transcript

We have eight coins. Four of them land heads with probability 1/3, while the other four land heads with probability 9/10. You can arrange the coins in any order, but once the order is chosen, you cannot change it. You then flip the coins one by one in that order. You stop as soon as you have seen at least one head and at least one tail, or once all eight coins have been flipped. You want to minimize the expected number of flips. Under an optimal ordering, what is the expected number of flips? 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 involving probability and expected value, with the goal of minimizing the expected number of flips of eight coins. The question requires applying probability theory and optimization techniques.

Key Takeaways
  1. Define the problem and the goal
  2. Identify the probabilities of each coin landing heads
  3. Determine the optimal ordering of the coins
  4. Calculate the expected number of flips for the optimal ordering
💡 The optimal ordering of the coins is crucial in minimizing the expected number of flips, and the solution involves applying probability theory and optimization techniques.

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