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\noindent {\bf Frank Schmidt and Rodica Simion }
\bigskip\noindent Some geometric probability problems
 involving the Eulerian numbers
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We present several problems involving geometric probability.
Each is related to the division of a simplex or cube 
by a family of hyperplanes. 
Both the classical Eulerian numbers and their 
analogue for the hyperoctahedral group 
arise in the solutions.
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