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MMLU / Given that a and b are real numbers such that −3≤a≤1 and …

Problem

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

question

Given that aa and bb are real numbers such that −3≤a≤1-3\leq a\leq1 and −2≤b≤4-2\leq b\leq 4, and values for aa and bb are chosen at random, what is the probability that the product a⋅ba\cdot b is positive? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
Given that a and b are real numbers such that −3≤a≤1 and −2≤b≤4, and values for a and b are chosen at random, what is the probability that the product a⋅b is positive? Express your answer as a common fraction.
Original LaTeX notation
Given that $a$ and $b$ are real numbers such that $-3\leq a\leq1$ and $-2\leq b\leq 4$, and values for $a$ and $b$ are chosen at random, what is the probability that the product $a\cdot b$ is positive? Express your answer as a common fraction.

choices

  1. \frac{5}{12}
  2. \frac{5}{11}
  3. \frac{7}{12}
  4. \frac{5}{17}

subject

high_school_mathematics

Discussion

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Source and history

task_id
5280c091-f50e-52a5-9d37-6d6496b89870
task_key
all--test--5280c091-f50e-52a5-9d37-6d6496b89870
task_revision_id
1
config / split
all / test

Official source

initial import