Please see attachment for question.
Please do these two things when solving the problem:
i) Use words to describe the solution process
ii) If you use a theorem or proposition, please state what it is called and your source. For example, THEOREM 3.1, ROSS, CHP 3.
Please see attached file.
The necessary and sufficient conditions for f(x) to be a probability on S are
(1) , for any subset E of S
This solution is comprised of a detailed explanation to use words to describe the solution process and if you use a theorem or proposition, please state what it is called and your source.