A363966 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.

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, 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, 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

Offset: 0

Author

Amiram Eldar, Jun 30 2023

Keywords

• nonn
• cons

Comments

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.

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

Examples

			0.12304961331228291265040404363481954662209287572663...
		

Links

• Thomas Browning, Probability of random sphere lying inside the unit ball, Mathematics Stackexchange, 2020.

Crossrefs

Cf. A093591.

Programs

Mathematica

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

PARI

24*Pi^2/1925

Formula

Equals 24*Pi^2/1925.