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.

Guest Feb 23, 2021

#1**+1 **

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**

CubeyThePenguin Feb 23, 2021