2024 SIG Quant Trading Interview!

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Interview Breakdown:
0:01 A dragon with 3 heads scenario: Each turn, a soldier either kills 2 heads, kills 1 head which regrows, or misses, allowing the dragon to grow a head. The soldier wins if the dragon reaches 0 heads; the dragon wins if it reaches 5 heads. The probability of missing is equal to killing 2 heads, given the dragon has at least 2 heads. What is the probability the soldier wins?
0:32 Candidate asks clarifying questions
2:25 Candidate begins brainstorming solutions
6:32 Instructor reviews the candidate's response, analyzing strengths and explaining the theory
8:47 Interviewer asks the second question: In a 3-set tennis game, would you bet on it finishing in 2 sets or 3 sets?
8:53 Candidate asks clarifying questions
9:29 Candidate discusses a logical approach to the answer
12:46 Instructor breaks down the candidate's approach and explains the probability theory behind the question
13:49 Interviewer introduces the third question: Two players are at deuce in a tennis match - player 1 has a 60% chance of winning the point, player 2 has 40%. What are the odds of player 1 winning?
14:03 Candidate asks clarifying questions and explores possible outcomes to calculate the probability
17:57 Instructor highlights a pattern to recognize and apply to similar questions

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