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MATH / 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…

Problem

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problem

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.

level

Level 5

type

Counting & Probability

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Source and history

task_id
605baebc-8e94-5cfe-bf9e-cd2957f2faa0
task_key
counting~5fand~5fprobability--test--605baebc-8e94-5cfe-bf9e-cd2957f2faa0
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import