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Two different integers are randomly chosen from the set \{ -5, -8, 7, 4, -2, 3, 1 \}. What is the probability that their product is negative? Express your answer as a common fraction.

 Aug 11, 2021
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Hi Guest,

 

Sorry for the late response

 

In this set of number, there are 3 negative numbers:

 

-5, -8, -2

 

If any of those number multiply 7, 4, 3, or 1, it will be negative

 

3 negative * 4 positive = 12 possibilities

 

Total possibilities  = 21

 

So the probability that their product is negative is 12/21

 Aug 11, 2021

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