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Two different integers are randomly chosen from the set

{5, 8, 7, 4, -2}

What is the probability that their product is negative? Express your answer as a common fraction.

 Feb 23, 2021
 #1
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The product of a positive number and a negative number is negative.

 

There are a total of 5 choose 2 = 10 pairs. Out of these 10, 4 choose 2 = 6 pairs do not contain a negative number.

 

So, the probability that the product is negative is 1 - 6/10 = 2/5

 Feb 23, 2021

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