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23
2014 Guts #23: Expected Number of Distinct Absolute Values
2014 Guts #23: Expected Number of Distinct Absolute Values
Source:
April 21, 2014
probability
expected value
absolute value
Problem Statement
Let
S
=
{
−
100
,
−
99
,
−
98
,
…
,
99
,
100
}
S=\{-100,-99,-98,\ldots,99,100\}
S
=
{
−
100
,
−
99
,
−
98
,
…
,
99
,
100
}
. Choose a
50
50
50
-element subset
T
T
T
of
S
S
S
at random. Find the expected number of elements of the set
{
∣
x
∣
:
x
∈
T
}
\{|x|:x\in T\}
{
∣
x
∣
:
x
∈
T
}
.
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