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MMLU-Pro / 7944 / A point (x,y) is randomly picked from inside the rectangle with vertices…

Problem

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

question

A point (x,y)(x,y) is randomly picked from inside the rectangle with vertices (0,0)(0,0), (3,0)(3,0), (3,2)(3,2), and (0,2)(0,2). What is the probability that x<yx < y?
Plain-text mathematical notation (without MathML)
A point (x,y) is randomly picked from inside the rectangle with vertices (0,0), (3,0), (3,2), and (0,2). What is the probability that x<y?
Original LaTeX notation
A point $(x,y)$ is randomly picked from inside the rectangle with vertices $(0,0)$, $(3,0)$, $(3,2)$, and $(0,2)$. What is the probability that $x < y$?

category

math

options

  1. \frac{1}{12}
  2. \frac{3}{5}
  3. \frac{1}{2}
  4. \frac{1}{5}
  5. \frac{3}{4}
  6. \frac{1}{3}
  7. \frac{2}{5}
  8. \frac{2}{3}
  9. \frac{1}{6}
  10. \frac{1}{4}

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
7944
task_id
13a0ece7-970a-5d29-a54f-ab35aba775d4
task_key
default--test--7944
task_revision_id
1
config / split
default / test

Official source

initial import