[I know it's not Wednesday yet, but I wanted you people to have a head start.]
You are to have an important meeting in Manhattan, New York at a certain time on a certain day with a person whom you don't know and have never seen. But you both have an esoteric insignia that will enable you to recognize each other. Unfortunately, you lose contact with the person before a meeting place was picked and now you have no way of reestablishing contact. (This puzzle dates from long before e-mail and cell phones.) Nevertheless, on the designated day at the designated time, you decide to be at some public place in Manhattan where you think the other person is most likely to be.
Where would you go to maximize your chances of meeting the other person assuming that the other person is also trying to find you? Assume that there had been no mention of a suitable meeting place between the 2 of you.
In the original puzzle1, the purpose of the meeting was not specified. However, the nature and purpose of the meeting could easily affect the selection of a meeting place and increase the chances of two people finding each other.
Now, where would you go if the meeting was about…
an archeological expedition to Egypt?
a research project about the microscopic animals that live in large ponds?
a new international organization to foster peace among countries?
Obviously, there are no correct answers to this puzzle, but, any number of possible, and rather subjective, answers.
I will post some answers of mine tomorrow nite in comments.
1. Modified and expanded from puzzle #12 in Mosteller, F., Fifty Challenging Problems in Probability. Dover Publications, 1965.