We first write the set:
{5,6,7,8,9,10,11,12}
And we recognize that the number multiple of 2 only could be a par number.
Then we count how many par numbers are. Clearly, there are 4 numbers.
To obtain the probability of choosing one of these numbers we need to divide it by the n number of the set, which is 8 in total.
[tex]P=\frac{4}{8}=\frac{1}{2}=0.5[/tex]Then we can conclude the probability of choosing a number that is a multiple of 2 in the set of all of the integers from 5 to 12, is 0.5.
So the right answer is 0.5
