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.
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
Examples
0.72775418543436709139292411039475642544602329673801...
Links
- Herbert Solomon, Geometric Probability, SIAM, 1978, p. 153.
Programs
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Mathematica
RealDigits[1/3 + 7007/(1800*Pi^2), 10, 100][[1]]
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PARI
1/3 + 7007/(1800*Pi^2) \\ Altug Alkan, Mar 28 2018
Formula
1/3 + 7007/(1800*Pi^2)