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Merge branch 'hotfix-typo'
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src/QuantitativePrimer.pdf

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src/answers/drop20cards.tex

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The way the question is worded expresses this scenario as something less intuitive and you'll need to reason it out before answering.
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Questions about card drawing should be done using the combination formula.
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It is a useful technique , since you can answer very complicated card-related questions with it.
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Questions about card drawing should be answered using the combination formula.
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It is a useful technique since you can answer very complicated card-related questions with it.
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For instance, if I draw 6 cards, what is the probability of drawing exactly two aces and one king?
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The answer is
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\begin{align}
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&= \frac{ 4 \times 3 }{ 52 \times 51 } \nonumber
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\text{.}
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\end{align}
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But this is not the answer the interviewer wants.
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They want you to use the following, simpler method:
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For this question, there is another method:
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\begin{align*}
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P(\text{Drawing two aces})
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&=
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\times
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\frac{3}{51}
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\end{align*}
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and then they want you to simplify the fraction in your head, \emph{quickly}:
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and then you need to simplify the fraction in your head, \emph{quickly}:
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\begin{align*}
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\frac{4}{52}
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\times
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\end{align*}
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During my interview, I first tried to use the method in
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\eqref{eq:drop20cards:cardmath},
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but from the incredulity in my interviewer's voice he probably was not familiar with the technique.
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but from the incredulity and confusion in my interviewer's voice he probably was not familiar with the technique.
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Many interviewers who ask statistics and probability only took one brief statistics course and---outside of some brainteasers they looked up---aren't aware of all the techniques and nuances, nor the differences in jargon.\footnote{This has been exacerbated by the redefinition of many statistical concepts within Machine Learning.}
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Fortunately I knew how to use the simpler method, but under pressure I was unable to perform the mental arithmetic fast enough.
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Fortunately I knew about both methods, but under pressure I was unable to perform the mental arithmetic fast enough.
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\end{answer}

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