==================
 Birthday paradox
==================

[status: barely-started]

The theory
==========


A practical demonstration
=========================


Look at the code in :numref:`listing-birthdays-py`:

.. _listing-birthdays-py:

.. literalinclude:: birthdays.py
   :language: python
   :caption: Simulate a party with several people and calculate the
             probability that two of them share a birthday.

.. command-output:: python3 birthday-paradox/birthdays.py
   :ellipsis: 0, 20

The result of running birthdays.py: this calculates the probability
that two people at a party will share the same birthday for party
sizes from 0 to 50.

What we have learned:

- Simulate a situation (in this case people sharing birthdays).

- Calculate the probability of an event with a random component.  We
  do this by running the event many times and averaging the outcome.