SOLUTION: 6. In a sample of 100 people 20 persons read news Paper A, 45 read News paper B, 16 persons not read anything. How many persons read a. Both two b)At least one Paper c)Only on

Question 478180: 6. In a sample of 100 people 20 persons read news Paper A, 45 read News paper B, 16 persons not read anything. How many persons read
a. Both two b)At least one Paper c)Only one News paper

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
6. In a sample of 100 people 20 persons read news Paper A,
45 read News paper B, 16 persons do not read anything.
How many persons read
a)Both A and B::::15
b)At least one Paper:::84
c)Only one News paper:::5 + 30 = 35
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Draw a Venn diagram of 2 intersecting circles labeled A and B.
Draw a rectangle around the circles.
----
Rectangle contains 100 people
Circle A has 20 people
Circle B has 45 people
16 people are in the rectangle but not in either circle.
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So 100-16 = 84 people are somewhere in the circles.
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#(A and B) = #(A) + #(B) - #(A or B)
---
#(A and B) = 20 + 45 - 84 = -15
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15 are in the intersection of A and B
So 5 are in A but not in the intersection.
30 are in B but not in the intersection
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Cheers,
Stan H.

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