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st: basic monte carlo simulation


From   William Bishop <wbishopco@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   st: basic monte carlo simulation
Date   Fri, 20 Feb 2009 15:08:25 -0800

Trying to create a monte carlo simulation for throwing a pair of dice
with 6-sides, numbered 1-6 (each side equally likely, thus 1/6).  So
there are 36 combinations of dice rolls and the sum will always be
between 2 (1 and 1) and 12 (6 and 6).

With a large number of simulations, we should get the probabilities of:

2: 1/36 = 0.02778
3: 2/36 = 0.05556
4: 3/36 = 0.08333
5: 4/36 = 0.11111
6: 5/36 = 0.13889
7: 6/36 = 0.16667
8: 5/36 = 0.13889
9: 4/36 = 0.11111
10: 3/36 = 0.08333
11: 2/36 = 0.05556
12: 1/36 = 0.02778
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