OFFSET
0,1
COMMENTS
It is proved that this maximum probability is achieved when the region is an ellipse (or a disk). [after Steven Finch]
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.18, p. 533.
LINKS
Eric Weisstein's MathWorld, Sylvester's Four-Point Problem
FORMULA
1-35/(12*Pi^2).
EXAMPLE
0.70447988104318149995535...
MATHEMATICA
RealDigits[1 - 35/(12*Pi^2), 10, 103] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 22 2014
STATUS
approved