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Monday puzzle time!

Here’s the entire text of a talk given at math, magic, and puzzle gathering (attendees included Stephen Wolfram and John Horton “Game of Life” Conway) by Gary Foshee:

I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?

The first thing you think is “What has Tuesday got to do with it?” Well, it has everything to do with it.

The key word in the puzzle is “probability”, which is not a very well understood term outside of the mathematics community. The full answer is at the end of the article.