  Our question is ``What is the probability that at least three members of the
senate share the same birthday?'' Before the pandemic, I asked this question in
several popular math talks I gave at universities across the country. Inspired
by ChatGPT's abysmal failure to answer the question, I have recently come back
to this problem and now have a more satisfactory answer, thanks in no small
part to what I learned form a page of Wolfram's Math World, which I located by
a Google search.
