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MMLU / The probability that a point (x, y) in R^2 is chosen follows a uniform random…

Problem

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question

The probability that a point (x, y) in R^2 is chosen follows a uniform random distribution within the region described by the inequality 0 < |x| + |y| < 1 . What is the probability that 2(x + y) > 1?

choices

  1. 0
  2. 1/4
  3. sqrt(2)/4
  4. 1/sqrt(2)

subject

college_mathematics

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Source and history

Official source

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