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Suppose that on a true/false exam you have no idea at all about the answers...

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Basic Math

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Suppose that on a true/false exam you have no idea at all about the answers to threequestions. You choose answers randomly and therefore have a 50-50 chance of beingcorrect on any one question. Let CCW indicate that you were correct on the first twoquestions and wrong on the third, let WCW indicate that you were wrong on the first andthird and correct on the second, and so forth. Then S = {CCC, CCW, CWC, WCC, CWW,WCW, WWC, WwW) is the sample space of all possible sequences of correct and incorrectresponses on your part.(1) Let E? be the event that exactly one answer is correct.(i) Write E? as a set in the set-roster notation: E? = {(ii) What is the probability of E??(2) Let E? be the event that at least two answers are correct.(i) Write E? as a set in set-roster notation: E? = {(ii) What is the probability of E2?}

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