A301862 Decimal expansion of the probability of intersection of 2 random chords in a circle, where each chord is selected by a random point within the circle and a random direction.
5, 8, 6, 6, 3, 6, 2, 9, 2, 4, 3, 9, 1, 7, 7, 7, 6, 1, 9, 4, 3, 0, 3, 1, 9, 9, 1, 3, 5, 7, 6, 5, 2, 4, 3, 0, 5, 9, 4, 2, 3, 0, 2, 7, 0, 0, 1, 3, 9, 4, 9, 7, 0, 5, 4, 4, 7, 3, 5, 5, 9, 1, 3, 0, 6, 8, 7, 6, 6, 1, 3, 5, 7, 3, 8, 9, 2, 1, 9, 3, 6, 3, 1, 1, 3, 5, 6
Offset: 1
Examples
0.58663629243917776194303199135765243059423027001394...
Links
- Herbert Solomon, Geometric Probability, SIAM, 1978, p. 152.
Programs
-
Mathematica
RealDigits[1/3 + 5/(2*Pi^2), 10, 100][[1]]
-
PARI
1/3 + 5/(2*Pi^2) \\ Altug Alkan, Mar 28 2018
Formula
Equals 1/3 + 5/(2*Pi^2).