probability

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A1
How likely is it to deviate from the maximum
entropy state? This simple calculation should give
you an idea. If a point is chosen at random in an
M-dimensional unit cube, what is the probability
of falling inside the cube with the side a =
0.9999999999? Compare M = 3 and M = 10^20.
(Note: For M = 10^20, a cube of side
a=0.9999999999 is not equivalent to a cube of
side a=1).
Transcribed Image Text:How likely is it to deviate from the maximum entropy state? This simple calculation should give you an idea. If a point is chosen at random in an M-dimensional unit cube, what is the probability of falling inside the cube with the side a = 0.9999999999? Compare M = 3 and M = 10^20. (Note: For M = 10^20, a cube of side a=0.9999999999 is not equivalent to a cube of side a=1).
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