[3.12] gh-101100: Fix Sphinx warnings in library/random.rst (GH-112981) (#113551)

Co-authored-by: Hugo van Kemenade <hugovk@users.noreply.github.com>
Co-authored-by: Alex Waygood <Alex.Waygood@Gmail.com>

Doc/library/random.rst

@@ -34,10 +34,8 @@ instance of the :class:`random.Random` class.  You can instantiate your own
 instances of :class:`Random` to get generators that don't share state.
 
 Class :class:`Random` can also be subclassed if you want to use a different
-basic generator of your own devising: in that case, override the :meth:`~Random.random`,
-:meth:`~Random.seed`, :meth:`~Random.getstate`, and :meth:`~Random.setstate` methods.
-Optionally, a new generator can supply a :meth:`~Random.getrandbits` method --- this
-allows :meth:`randrange` to produce selections over an arbitrarily large range.
+basic generator of your own devising: see the documentation on that class for
+more details.
 
 The :mod:`random` module also provides the :class:`SystemRandom` class which
 uses the system function :func:`os.urandom` to generate random numbers
@@ -88,7 +86,7 @@ Bookkeeping functions
 
    .. versionchanged:: 3.11
       The *seed* must be one of the following types:
-      *NoneType*, :class:`int`, :class:`float`, :class:`str`,
+      ``None``, :class:`int`, :class:`float`, :class:`str`,
       :class:`bytes`, or :class:`bytearray`.
 
 .. function:: getstate()
@@ -412,6 +410,37 @@ Alternative Generator
       ``None``, :class:`int`, :class:`float`, :class:`str`,
       :class:`bytes`, or :class:`bytearray`.
 
+   Subclasses of :class:`!Random` should override the following methods if they
+   wish to make use of a different basic generator:
+
+   .. method:: Random.seed(a=None, version=2)
+
+      Override this method in subclasses to customise the :meth:`~random.seed`
+      behaviour of :class:`!Random` instances.
+
+   .. method:: Random.getstate()
+
+      Override this method in subclasses to customise the :meth:`~random.getstate`
+      behaviour of :class:`!Random` instances.
+
+   .. method:: Random.setstate(state)
+
+      Override this method in subclasses to customise the :meth:`~random.setstate`
+      behaviour of :class:`!Random` instances.
+
+   .. method:: Random.random()
+
+      Override this method in subclasses to customise the :meth:`~random.random`
+      behaviour of :class:`!Random` instances.
+
+   Optionally, a custom generator subclass can also supply the following method:
+
+   .. method:: Random.getrandbits(k)
+
+      Override this method in subclasses to customise the
+      :meth:`~random.getrandbits` behaviour of :class:`!Random` instances.
+
+
 .. class:: SystemRandom([seed])
 
    Class that uses the :func:`os.urandom` function for generating random numbers
@@ -572,14 +601,14 @@ Simulation of arrival times and service deliveries for a multiserver queue::
    including simulation, sampling, shuffling, and cross-validation.
 
    `Economics Simulation
-   <https://nbviewer.jupyter.org/url/norvig.com/ipython/Economics.ipynb>`_
+   <https://nbviewer.org/url/norvig.com/ipython/Economics.ipynb>`_
    a simulation of a marketplace by
    `Peter Norvig <https://norvig.com/bio.html>`_ that shows effective
    use of many of the tools and distributions provided by this module
    (gauss, uniform, sample, betavariate, choice, triangular, and randrange).
 
    `A Concrete Introduction to Probability (using Python)
-   <https://nbviewer.jupyter.org/url/norvig.com/ipython/Probability.ipynb>`_
+   <https://nbviewer.org/url/norvig.com/ipython/Probability.ipynb>`_
    a tutorial by `Peter Norvig <https://norvig.com/bio.html>`_ covering
    the basics of probability theory, how to write simulations, and
    how to perform data analysis using Python.

Doc/tools/.nitignore

@@ -82,7 +82,6 @@ Doc/library/profile.rst
 Doc/library/pyclbr.rst
 Doc/library/pydoc.rst
 Doc/library/pyexpat.rst
-Doc/library/random.rst
 Doc/library/readline.rst
 Doc/library/resource.rst
 Doc/library/select.rst