1. Food from Italy
Italy is the European country that is shaped like a boot.Many popular dishes have their origin in Italy test

This is the heading of the problem
These are introductory words meant to be read before the problem statement.Problem 1.1.
[Luigi] How many pieces of pizza are in a typical pizza pie?
Remark. [David Faermer] Eight is the most common, in my experience.

Remark. [Jason Davies] test


The following is actually a real mathematics problem.
Problem 1.2.
Given a plate of spaghetti with $N$ noodles, suppose you randomly connect each end of a noodle to another end, with all connections equally likely. What is the expected number of loops?
Remark. When $N=1$ there is exactly one loop.
When $N=2$ there can be either 1 or 2 loops, with 2 loops occurring 1/3 of the time. So the expected number of loops is $\frac13 2 + \frac23 1 = \frac43$.



Remark. [Jason] Interesting problem.


Problem 1.4.
[David F] This is a placeholder for the statement of a problem.
Cite this as: AimPL: Try out this list!, available at http://aimpl.org/test.