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Basic Math/How to combine two percentage (which may have overlap)

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Edison wrote at 2016-05-28 15:27:57
It's essential that we understand the set equation:

n(A u B) = n(A) + n(B)- n(A n B), wfromhere U=Union and n= intersection of sets, respectively.

We've n(A)=50 and n(B)=60. So, n(A U B)= 110- n( A n B).

Total no of patients with heart disease=100.

Then, n(A n B)<= 100. It follows that -n(A n B)>= -100, or, 110 -n(A n B)>= 10, or, n(A U B)>= 10.

Also n(A U B)<= 100.

Combining them we've,

10>= n(A U B)<= 100. Thus, the total no. of patients having disease A or B or both vary from 10% to100%.




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Abe Mantell

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Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

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Over 15 years teaching at the college level.

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B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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