Question

What is the expected volume of the simplex formed by $n+1$ points independently uniformly distributed on $\mathbb S^{n-1}$?

score 276 · Answer 1 · 2026-03-27 18:49:44

276

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What is the expected volume of the simplex formed by $n+1$ points independently uniformly distributed on $\mathbb S^{n-1}$?

Published on 27 Mar 2026 - 18:49

score 953 · Answer 2 · 2026-04-04 00:52:58

953

Views

A random sphere containing the center of the unit cube

Published on 04 Apr 2026 - 0:52

score 21 · Answer 3 · 2026-03-29 15:59:38

21

Views

Compute the variance of the random variable X measuring the distance between P1 and P2

Published on 29 Mar 2026 - 15:59

score 476 · Answer 4 · 2020-03-09 19:25:18

476

Views

Average distance of two points on a circle

Published on 09 Mar 2020 - 19:25

score 576 · Answer 5 · 2026-03-26 01:00:26

576

Views

Probability Based on a Grid of Lights

Published on 26 Mar 2026 - 1:00

score 157 · Answer 6 · 2026-03-26 08:03:38

157

Views

On a certain discrepancy measure between probability distributions on the symmetric group of permutation $\mathfrak S_n$

Published on 26 Mar 2026 - 8:03

score 103 · Answer 7 · 2020-03-18 20:18:33

103

Views

Geometric probability; circle doesn't intersect with lines

Published on 18 Mar 2020 - 20:18

score 70 · Answer 8 · 2026-04-06 02:54:14

70

Views

How to compute the expected value of the number of domains of a given size?

Published on 06 Apr 2026 - 2:54

score 64 · Answer 9 · 2020-03-21 17:33:31

64

Views

Derivation of Discrete Phase Type Distribution

Published on 21 Mar 2020 - 17:33

score 174 · Answer 10 · 2020-03-22 17:16:14

174

Views

Geometric probability; circle and two points

Published on 22 Mar 2020 - 17:16

score 340 · Answer 11 · 2026-03-29 07:00:26

340

Views

What is the probability that the larger of two independent uniform variables on $[0,1]$ is greater than $3/4$ if the smaller one is less than $1/4$?

Published on 29 Mar 2026 - 7:00

score 320 · Answer 12 · 2020-04-11 20:20:24

320

Views

Geometric probability -- line segment

Published on 11 Apr 2020 - 20:20

score 55 · Answer 13 · 2026-03-31 11:02:41

55

Views

how close can you get to a random d-dimensional vector of +1 and -1 given k guesses?

Published on 31 Mar 2026 - 11:02

score 108 · Answer 14 · 2026-04-05 17:17:13

108

Views

Show that the probability that it falls entirely on one brick is $\frac{(a-c)(b-c)}{ab},( c<a, c<b).$

Published on 05 Apr 2026 - 17:17

score 290 · Answer 15 · 2026-03-28 03:00:29

290

Views

Average angle between two randomly chosen vectors in a unit square

Published on 28 Mar 2026 - 3:00

List Question

What is the expected volume of the simplex formed by $n+1$ points independently uniformly distributed on $\mathbb S^{n-1}$?

A random sphere containing the center of the unit cube

Compute the variance of the random variable X measuring the distance between P1 and P2

Average distance of two points on a circle

Probability Based on a Grid of Lights

On a certain discrepancy measure between probability distributions on the symmetric group of permutation $\mathfrak S_n$

Geometric probability; circle doesn't intersect with lines

How to compute the expected value of the number of domains of a given size?

Derivation of Discrete Phase Type Distribution

Geometric probability; circle and two points

What is the probability that the larger of two independent uniform variables on $[0,1]$ is greater than $3/4$ if the smaller one is less than $1/4$?

Geometric probability -- line segment

how close can you get to a random d-dimensional vector of +1 and -1 given k guesses?

Show that the probability that it falls entirely on one brick is $\frac{(a-c)(b-c)}{ab},( c<a, c<b).$

Average angle between two randomly chosen vectors in a unit square

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