SOLUTION: Provide a written description of the complement of the given event. Of the fifty ballots cast in the last election, at least one of them had an irregularity.

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Question 1149426: Provide a written description of the complement of the given event.
Of the fifty ballots cast in the last election, at least one of them had an irregularity.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall:
The complement of a set is everything outside of the set. For example, if A represents all prime integers, then A complement would be all integers that are not prime. The two sets have nothing in common, but, when put together, comprise the entire universal set.

one example:
Determine the written description of the complement of the given event.
When 14 computers are received, at least one of them is+defective.
Choose the correct answer below.
A. None of them are free of defects.
B. More than one of them of free of defects.
C. All of them are defective.
D. All of them are free of defects.
Here we are looking for at least+one of the computers out of the 14 to be defective. That means 1 defect, 2 defects, 3 defects, all the way up to 14 defects.
There is one number not represented -- zero defects. So either the set has zero defects or it has at least one+defect. So the answer to this question is A.

you are given:
Provide a written description of the complement of the given event.
Of the fifty ballots cast in the last election, at least one of them had an irregularity.
using analogy, the answer in your case will be:

None+of them are+free of an irregularity.