marcodonzelli
M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 1, 2, 3}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
A. 0
B. 1/3
C. 2/5
D. 1/2
E. 3/5
For the product of two integers to be negative, they have to have opposing signs (i.e. +ve integer multiplied by a -ve integer OR -ve integer multipled by +ve integer).
All
5 integers from SET M, integers which are each negative, can therefore work with the
3 positive integers in Set T (1, 2, 3) to create a negative result.
5 multipled by 3 = 15
Since we're looking for a probability, we need to know the total number of products that can be created. Each of the 5 integers in Set M can be multiplied with each of the 6 integers in Set T.
5 multipled by 6 = 30
The probability is therefore:
15/30 = 1/2
(D) is your answer.