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Introduction
You work at a shoe factory, and you’re working on creating boxes with pairs of shoes. Currently in front of you, imagine there are 3 pairs of shoes (for a total of 6 individual shoes) with the following sizes: 2 size 4s, 2 size 5s, 2 size 6s. The factory defines an “acceptable” pair as 2 shoes that differ in size by a maximum of 1 size — so a shoe with size 5 and a shoe with size 6 would count as an “acceptable” pair. If you close your eyes, and randomly pick 3 pairs of shoes, without replacement, what is the probability that you end up drawing 3 acceptable pairs?
The candidate asks clarifying questions
The candidate breaks down the question and starts brainstorming solutions
Our instructor analyzes the candidate's initial response to the question and points out what he did well
The candidate walks through the methodology for his solution, and solves the question correctly.
Our instructor explains the theory behind this question, and whiteboards a solution for this question. He also shows a snippet of the written detailed solution from The Quant Guide course, along with a Python code simulation which shows that the final answer approaches 1/3 with infinite trials. Here's a written solution from the course
The interviewer asks the second question. Say you're flipping a fair coin until you obtain the first H. If the first H occurs on the k'th flip, you're given k balls. We're going to randomly put these k balls into 3 bins, labeled 1 2 and 3. Find the probability that none of these 3 bins end up empty.
The candidate dissects the question and asks clarifying questions.
The candidate works through some examples and logically breaks the question down to answer the question effectively.
The candidate has answered the question correctly, and now summarizes his approach.
Our instructor breaks down the approach the candidate used and whiteboards the fundamental probability theory behind this question.
Introduction
How did your interests shift away from engineering?
Would you describe this as Quant Research?
Please explain what Quant actually is?
What according to you is the most hyped/in-demand field in Quant?
What exactly is desk-quant?
What is your opinion on companies preferring PhD students more in this field?
What is the importance of High Frequency Trades?
What are the low-level quant jobs referred to as?
What made you stay in quant? How did it become your passion?
Do you still prefer reading books over online courses?
What particular jobs can you manage?
How has CFA helped you in your career?
Why do you think people working at quant companies/hedge funds get paid so much more than Software Engineers?
Do you think there is a good work life balance in this field of job?
Please tell us about the interview rounds? Are they as rigorous as we think?
Would you suggest a student pursuing CS to pursue quant?
What are you/plan to learn next? You final piece of advice for the students?