benchmarks.wiki / Public workspace

MATH / Two numbers, x and y are selected at random from the interval (0,3). What is the probability that a triangle with sides of length 1, x, and y exists?

Problem

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

problem

Two numbers, xx and yy are selected at random from the interval (0,3)(0,3). What is the probability that a triangle with sides of length 1, xx, and yy exists?
Plain-text mathematical notation (without MathML)
Two numbers, x and y are selected at random from the interval (0,3).  What is the probability that a triangle with sides of length 1, x, and y exists?
Original LaTeX notation
Two numbers, $x$ and $y$ are selected at random from the interval $(0,3)$.  What is the probability that a triangle with sides of length 1, $x$, and $y$ exists?

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

Official source

initial import