MathDB
2014 Guts #23: Expected Number of Distinct Absolute Values

Source:

April 21, 2014
probabilityexpected valueabsolute value

Problem Statement

Let S={100,99,98,,99,100}S=\{-100,-99,-98,\ldots,99,100\}. Choose a 5050-element subset TT of SS at random. Find the expected number of elements of the set {x:xT}\{|x|:x\in T\}.