Arnab Chakraborty on The Monty Hall Problem and Bayes’ Theorem – The Central Equilibrium – Episode 6

I am pleased to welcome Arnab Chakraborty back to my talk show, “The Central Equilibrium“, to talk about the Monty Hall Problem and Bayes’ theorem.  In this episode, he shows 2 solutions to this classic puzzle in probability, and invokes Bayes’ Theorem for the second solution.

If you have not watched Arnab’s first episode on Bayes’ theorem, then I encourage you to do that first.

Marilyn Vos Savant provided a solution to this problem in PARADE Magazine in 1990-1991.  Thousands of readers disagreed with her solution and criticized her vehemently (and incorrectly) for her error.  Some of these critics were mathematicians!  She included some of those replies and provided alternative perspectives that led to the same conclusion.  Although I am dismayed by the disrespect that some people showed in their letters to her, I am glad that a magazine column on probability was able to attract so much readership and interest.  Arnab and I referred to one of her solutions in our episode.  Thank you, Marilyn!

Enjoy this episode of “The Central Equilibrium“!


Write a personal message when inviting people to connect on LinkedIn

Strangers send requests to join my network on LinkedIn every week, sometimes every day.  When I get such a request, the enclosing message is usually

“Hi Eric, I’d like to join your LinkedIn network.”

This is the default message, which means that the sender did not take the time to write a personalized invitation.  This is very disappointing, especially because LinkedIn suggests you to write a personal note before sending every request.

When you don’t write a personal message, it shows a lack of effort to engage with that person and develop a rapport in this new connection.  In this age of social media, it is easy and common to add new contacts just for the sake of increasing the size of one’s network, whether it’s “Friends” on Facebook, “Followers” on Twitter, or “Connections” on LinkedIn.  Although social networking is virtual, connecting with people is still a human endeavour, and your effort level in that endeavour will reap proportional returns in the long term.

In your personal note, here are possible things to mention:

  • how you met that person
  • what you valued in your past professional encounter(s) with that person
  • what you hope to learn from that person


If you accept a thoughtful invitation from someone on LinkedIn, then write a personal message in return to thank them.  Either way, read their profiles carefully, and ask insightful questions based on what you learn from their profiles.  Your new connections will recognize your efforts in noticing their work/education and trying to learn from them, and they will likely appreciate your initiative.

Benjamin Garden on Simple vs. Compound Interest in Finance – The Central Equilibrium – Episode 5

I am so pleased to publish this new episode of “The Central Equilibrium“, featuring Benjamin Garden.  He talked about simple and compound interest in the context of finance and investment, highlighting the power of compound interest to grow your money and to enlarge debt from credit cards.  We compared the formulas for calculating the accrued amounts under simple and compound interest, and we derived the formula for the Rule of 72, a short-cut to estimate the length of time needed to double your investment under compound interest.

Check out Ben’s blog, Twitter account (@GardenBenjamin), and Instagram account ( to get more advice about managing your money!

Part 1:


Part 2:

A tip about the word “college” to my American neighbo[u]rs who wish to work in Canada

Canadian English and American English are very similar, allowing Anglophones in both countries to work and live with ease when crossing the border.  However, there is a subtle difference in our vocabularies that can have big consequences for job searches and professional development.  To my American neighbours (or neighbors, as it is spelled in the United States of America), I offer this tip to avoid any confusion.  It concerns our different usages of the words “college” and “university”.


The Peace Arch is a monument situated between Blaine, Washington and Surrey, British Columbia. Near this monument is a major border crossing between the USA and Canada.

Image courtesy of RGB2 from Wikimedia.

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