SOLUTION: In a city three newspapers X , Y , Z are published , 40% of the people of the city read X , 50% read Y , 30% read Z , 20% read both X and Y ,15% read both X

Algebra ->  Probability-and-statistics -> SOLUTION: In a city three newspapers X , Y , Z are published , 40% of the people of the city read X , 50% read Y , 30% read Z , 20% read both X and Y ,15% read both X       Log On


   



Question 1177678: In a city three newspapers
X , Y , Z
are published ,
40%
of the people of the city read
X , 50%
read
Y , 30%
read
Z , 20%
read both
X
and
Y ,15%
read both
X
and
Z
and
24%
read all the three papers. Calculate the percentage of people who do not read any of
the three papers. [

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

It could be a nice,  beautiful first class problem,  BUT,  UNFORTUNATELY,

it describes,  BY  MISTAKE,  a situation which  NEVER  MAY  HAPPEN  in real life,

because the intersection of the three sets  XYZ  (24%)  is,  according to the condition,

GREATER  than the intersection of two subsets  XY  (20%)  and  XZ  (15%).


So,  in this form,  as presented in the post,  the problem is good for re-cycling,  only.


Unfortunately,  the person who composed this problem,  has lack of knowledge in elementary  Math.


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At least,  do not post your anathema to me for opening your eyes,
as some visitors of this forum do.