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.
Number of possible sets is C(5,2) = 10
A negative will occur when any 3 of the negatives are multiplied by each of the two positives
So......this will produce 3* 2 = 6 sets
So...the probability is 6 / 10 = 3 / 5