RSSQuant Puzzles

ABRACADABRA: Part 3 (Comment)

| June 27, 2013 | 0 Comments
ABRACADABRA: Part 3 (Comment)

A colleague of mine asked me what if we wanted to know the expected time for the monkey to type the sequence of letters ABCDEFGHIJK and not ABRACADABRA what would the result be. Trudging through the mathematics gives \( \mathbb E[T] =26^{11} \). Why is the expected time for the monkey to type ABRACADABRA longer […]

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ABRACADABRA: Part 2

| June 26, 2013 | 0 Comments
ABRACADABRA: Part 2

To answer the question what is the expected time for a monkey to type ABRACADABRA, assuming he types the letters of the alphabet randomly at times 1,2,3,… rigorously we will need to use a theorem from discrete martingale theory, Doob’s Optional Stopping Theorem. This theorem states sufficient conditions for a stopped martingale to have the […]

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ABRACADABRA: Part 1

| June 25, 2013 | 0 Comments
ABRACADABRA: Part 1

Since I have just reviewed ‘Probability with Martingales’ I thought it would be nice to add one of the most famous puzzles in the book to the puzzles page. If at each of times  1,2,3,.. a monkey types a capital letter at random. What is the expected time for the monkey to first produce the letters […]

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Quant Puzzles Available Online

| June 5, 2013 | 0 Comments
Quant Puzzles Available Online

Here’s a nice link to a page of quant puzzles  with answers. Many of these appear in Heard on the Street: Quantitative Questions from Wall Street Job Interviews  

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