A number is randomly chosen from the set of (-3,-2,-1,0,1) and another number is randomly chosen from the set (-1,2,5). What is the probablity that the product of the two chosen numbers is negative

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Mathematics

9 October, 00:25

A number is randomly chosen from the set of (-3,-2,-1,0,1) and another number is randomly chosen from the set (-1,2,5). What is the probablity that the product of the two chosen numbers is negative

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Beard · Answer 1

7/15

Step-by-step explanation:

To have a negative number as a result of a product between two numbers, we need one number to be negative and one to be positive. So our options are: - 3 and 2, - 3 and 5, - 2 and 2, - 2 and 5, - 1 and 2, - 1 and 5, 1 and - 1

As we have 5 numbers in the first group and 3 in the second, we have 5*3=15 possibilities, and inside these 15, we want 7 of them (the 7 possibilities that gives us a negative product listed above), so the probability we want is 7/15 (the possibilities we want over all the possibilities)