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Omni-MATH / Two different numbers are randomly selected from the set {−3,−1,0,2,4} and then multiplied together. What is the probability that the product of the two numbers chosen is 0?

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problem

Two different numbers are randomly selected from the set {−3,−1,0,2,4}\{-3, -1, 0, 2, 4\} and then multiplied together. What is the probability that the product of the two numbers chosen is 0?
Plain-text mathematical notation (without MathML)
Two different numbers are randomly selected from the set {−3,−1,0,2,4} and then multiplied together. What is the probability that the product of the two numbers chosen is 0?
Original LaTeX notation
Two different numbers are randomly selected from the set $\{-3, -1, 0, 2, 4\}$ and then multiplied together. What is the probability that the product of the two numbers chosen is 0?

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