Citadel Quant Interview Question #quant

quantprof · Beginner ·📐 ML Fundamentals ·2mo ago

Key Takeaways

Solving a quant interview question from Citadel involving probability and expected payoff with a coin flipping game, where the goal is to maximize the total number of heads by strategically locking coins after each round of flips.

Full Transcript

We have five coins and each coin lands heads with probability 2/3. In the first round, all five coins are flipped. After each round, you may choose to lock some of the coins, but you must lock at least one new coin every round. The remaining unlocked coins are then flipped again and this process continues until all five coins have been locked. Your payoff is the total number of heads. Under the optimal strategy, what is your expected payoff? Post your answers in comments.

Original Description

Can you solve this quant interview question asked at citadel?
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This video teaches how to solve a quant interview question involving a coin flipping game where the goal is to maximize the expected payoff by strategically locking coins after each round. The optimal strategy involves understanding probability theory and applying it to make informed decisions about which coins to lock and when.

Key Takeaways
  1. Understand the rules of the game and the objective
  2. Calculate the probability of getting heads for each coin
  3. Determine the optimal strategy for locking coins after each round
  4. Calculate the expected payoff under the optimal strategy
  5. Consider the trade-offs between locking coins early versus late in the game
💡 The key to solving this problem is to understand how to calculate the expected payoff and to develop a strategic approach to locking coins that maximizes this value.

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