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%I #11 Apr 09 2018 10:05:45
%S 9,0,4,9,8,6,4,7,8,9,4,5,8,7,4,9,8,0,6,3,6,3,6,9,4,4,9,6,4,4,6,9,8,8,
%T 4,0,9,4,2,5,9,7,1,8,8,5,6,7,6,6,8,7,3,7,0,6,9,7,9,1,3,1,4,4,4,2,2,2,
%U 6,9,7,4,6,7,6,7,2,2,1,1,2,6,0,0,7,0,5
%N Decimal expansion of the probability that 2 planes, each passes through 3 random points inside a sphere, will intersect within the sphere.
%C The problem was proposed and solved by Enoch Beery Seitz in 1883.
%D Stanley Rabinowitz, Problems and Solutions from the Mathematical Visitor 1877-1896, MathPro Press, 1991, pp. 173-174.
%H Enoch Beery Seitz, <a href="https://babel.hathitrust.org/cgi/pt?id=umn.31951000241746i;view=1up;seq=68">Problem 215</a>, The Mathematical Visitor, Vol. 2, No. 3 (1883), p. 58-59.
%F (63/64)^4*(5*Pi/16)^2
%e 0.90498647894587498063636944964469884094259718856766...
%t RealDigits[(63/64)^4*(5*Pi/16)^2, 10, 100][[1]]
%o (PARI) (63/64)^4*(5*Pi/16)^2 \\ _Altug Alkan_, Mar 28 2018
%Y Cf. A301862, A301863, A301864.
%K nonn,cons
%O 1,1
%A _Amiram Eldar_, Mar 28 2018
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