A363966 - OEIS

%I #5 Jun 30 2023 03:55:14

%S 1,2,3,0,4,9,6,1,3,3,1,2,2,8,2,9,1,2,6,5,0,4,0,4,0,4,3,6,3,4,8,1,9,5,

%T 4,6,6,2,2,0,9,2,8,7,5,7,2,6,6,3,8,4,2,8,5,8,9,0,4,9,5,5,0,6,6,4,5,6,

%U 1,5,9,7,7,8,6,0,0,5,6,7,5,7,5,6,9,0,5,2,2,6,8,5,1,5,5,5,9,7,5,8,7,7,2,8,6

%N Decimal expansion of the probability that a sphere that is passing through 4 points uniformly and independently chosen at random in a 3D ball is completely lying inside the ball.

%C The corresponding 2D probability, that a circle that is passing through 3 points uniformly and independently chosen at random in a 2D disk is completely lying inside the disk, is 2/5.

%C For the general solution in any number of dimensions see the solution of the user "joriki" in the Mathematics Stackexchange link.

%H Thomas Browning, <a href="https://math.stackexchange.com/questions/3555686/probability-of-random-sphere-lying-inside-the-unit-ball">Probability of random sphere lying inside the unit ball</a>, Mathematics Stackexchange, 2020.

%F Equals 24*Pi^2/1925.

%e 0.12304961331228291265040404363481954662209287572663...

%t RealDigits[24*Pi^2/1925, 10, 120][[1]]

%o (PARI) 24*Pi^2/1925

%Y Cf. A093591.

%K nonn,cons

%O 0,2

%A _Amiram Eldar_, Jun 30 2023