Question 470498
For 2 events A and B defined on a sample space S, 
N(AandBcomplement)= 15, N(Acomplement and B)= 50, and N(A and B)=2. Given that 
N(S)= 120, how many outcomes belong to neither A Nor B?
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Draw 2 intersecting circles; label them A and B.
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Draw a rectangle around the circles ; label it S=120
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Put "2" in the intersection of A and B.
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Put "15" in the part of A that is not in the intersection.
Put "50" in the part of B that is not in the intersection.
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Now you see there are 15+2+50 = 67 in A or B.
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Therefore there are 120 - 67 = 53 in S that are not in A or B.
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Cheers,
Stan H.
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