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Combinatorics of Permutations, 2nd Edition
book

Combinatorics of Permutations, 2nd Edition

by Miklos Bona
April 2016
Intermediate to advanced content levelIntermediate to advanced
478 pages
14h 44m
English
Chapman and Hall/CRC
Content preview from Combinatorics of Permutations, 2nd Edition
Mean and Insensitive. Random Permutations. 245
fore, the total probability that we get a tableaux of shape F is f
F
·
f
F
n!
=
(f
F
)
2
n!
,
proving that
F
(f
F
)
2
n!
=1
as claimed.
We will need the notion of conditional probabilities.
DEFINITION 6.13 Let A and B be two events so that P [B] > 0.Then
we define
P [A|B]=
P [A B]
P [B]
and we call P [A|B] the probability of A given B.
In other words, P [A|B] is the probability of the occurrence of A if we assume
that B occurs. As we mentioned before, A and B are called independent if
P [A|B]=P [A], that is, if the occurrence of B does not make the occurrence
of A any more or less likely.
One basic and well-known application
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Publisher Resources

ISBN: 9781439850527