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A301864
Decimal expansion of the probability of intersection of 2 random chords in a sphere when they are projected onto a plane that passes the center, where each chord is selected by 2 random points within the sphere.
3
7, 2, 7, 7, 5, 4, 1, 8, 5, 4, 3, 4, 3, 6, 7, 0, 9, 1, 3, 9, 2, 9, 2, 4, 1, 1, 0, 3, 9, 4, 7, 5, 6, 4, 2, 5, 4, 4, 6, 0, 2, 3, 2, 9, 6, 7, 3, 8, 0, 1, 7, 5, 3, 7, 6, 4, 5, 1, 0, 1, 3, 8, 1, 3, 7, 9, 1, 5, 0, 5, 8, 8, 1, 0, 1, 3, 2, 4, 2, 9, 8, 0, 1, 4, 8, 9, 0
OFFSET
1,1
LINKS
Herbert Solomon, Geometric Probability, SIAM, 1978, p. 153.
FORMULA
1/3 + 7007/(1800*Pi^2)
EXAMPLE
0.72775418543436709139292411039475642544602329673801...
MATHEMATICA
RealDigits[1/3 + 7007/(1800*Pi^2), 10, 100][[1]]
PROG
(PARI) 1/3 + 7007/(1800*Pi^2) \\ Altug Alkan, Mar 28 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 28 2018
STATUS
approved