benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Four points, A, B, C, and D, are chosen randomly and independently on the circumference of a circle. What is the probability that segments AB and CD intersect?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Four points, AA, BB, CC, and DD, are chosen randomly and independently on the circumference of a circle. What is the probability that segments ABAB and CDCD intersect?
Plain-text mathematical notation (without MathML)
Four points, A, B, C, and D, are chosen randomly and independently on the circumference of a circle. What is the probability that segments AB and CD intersect?
Original LaTeX notation
Four points, $A$, $B$, $C$, and $D$, are chosen randomly and independently on the circumference of a circle. What is the probability that segments $AB$ and $CD$ intersect?

level

Level 5

type

Counting & Probability

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
a89ca1d1-2b99-5da5-80b3-bca7d7f17b0c
task_key
counting~5fand~5fprobability--test--a89ca1d1-2b99-5da5-80b3-bca7d7f17b0c
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import