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Notebook[{
Cell["A (very) simple pseudo-random number generator", "Text",
  FontSize->18],

Cell[BoxData[{
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Cell[BoxData[
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Cell[BoxData[
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Cell["A random walk simulator", "Text",
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Cell[BoxData[{
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Cell["\<\
Do the random walk a bunch of times and determine the percentage of the time \
the drunk hits +100\
\>", "Text",
  FontSize->18],

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Cell["\<\
Attempt #1 at random point in circle: 
random r from 0 to 1, random theta from 0 to 2 Pi\
\>", "Text",
  FontSize->18],

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Cell[TextData[StyleBox["Faulty!  (Biases center)",
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Cell["\<\
Attempt #2 at random point in circle: 
random x from -1 to 1, random y from -1 to 1, then scaled by Sqrt[1-x^2]\
\>", "Text",
  FontSize->18],

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Cell["\<\
Attempt #3 at random point in circle: 
random x from -1 to 1, random y from -1 to 1, try again if outside circle\
\>", "Text",
  FontSize->18],

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Cell[TextData[StyleBox["Yes!",
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  FontSize->48],

Cell["\<\
Simulate how often 2 random points in the unit circle are farther than 1.2 \
from each other\
\>", "Text",
  FontSize->18],

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Cell["An example of a non-uniform distribution:", "Text",
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Cell[BoxData[
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Cell[TextData[{
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  " also has a normal distribution built in"
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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