A government department investigating the issues of tax avoidance and evasion determines that the following outcomes have occurred in a random sample of 400 cases.

(a) What is the probability that a tax return will be filed? Show how considering the complement of this event provides at least two methods of answering this question.

(b) Using the information provided, explain why the event of some form of evasion requiring further investigation occurring among those who do file an assessment is not an elementary event.

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Tax return assessment Not filed Filed with no evasion to be investigated Filed with minor level of possible evasion to be investigated Filed with major level of possible evasion to be investigated Returns 80 260 40 20