# Request for urgent Help in a Probability Question

#### Hazratgi

##### New Member
Dear Friends, I hope you are all fine, I am facing a serious issue to solving this question. Kindly guide me that how to solve this question.
I have written the answer to this question (part b and part c) but the answer is not clear. I just want to make two lists (1) List of Mutually exhaustive, (2) List of collectively exhaustive.
Question:

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Part (a): The segments are collectively exhaustive because we can select any segments for special campaigns. There are two senses of mutually exclusive, (1) If we consider all possible combinations, then it is mutually exclusive. Let's consider only those combinations that fall in the range of our total amount ($800,000). They are not mutually exclusive because we want to consider Minorities and Businesspeople ($350,000+$550,000=$900,000), which is not possible simultaneously and exceeds the total available amount (800,000).

The answer of Part (b): We are supposing that Minorities=M; Business people=BP; Women=W; Professionals and white-collar workers =PWW; Blue-collar workers=BCW

M= $350,000; BP=$550,000;
W= $250,000; PWW=$200,000;
BCW= $250,000; (M,W)=M=$350,000+ W= $250,000=$600,000;
(M,PWW)=M= $350,000+ PWW=$200,000=$530,000; (M,BCW)=M=$350,000+ BCW= $250,000=$600,000;
(BP,W)= BP= $550,000+ W=$250,000=$800,000; (BP,PWW)= BP=$550,000+ PWW= $200,000=$750,000;
(BP,BCW)= BP= $550,000+ BCW=$250,000=$800,000; (W,PWW)= W=$250,000+ PWW= $200,000=$450,000;
(W,BCW)= W= $250,000+ BCW=$250,000=$500,000; (PWW,BCW)= PWW=$200,000+ BCW= $250,000=$450,000;
(M,W, BCW)= M= $350,000+ W=$250,000+ BCW= $250,000=$850,000
(M,PWW, BCW)= M= $350,000+ PWWW=$200,000+ BCW= $250,000=$800,000
(W,PWW, BCW)= M= $250,000+ W=$200,000+ BCW= $250,000=$750,000
List of Mutually exhaustive:?
List of collectively exhaustive:?

(BP,W)= BP= $550,000+ W=$250,000=$800,000; (BP,BCW)= BP=$550,000+ BCW= $250,000=$800,000;
(M,W, BCW)= M= $350,000+ W=$250,000+ BCW= $250,000=$850,000
(M,PWW, BCW)= M= $350,000+ PWWW=$200,000+ BCW= $250,000=$800,000