realized I screwed up, ignore this post
I was looking for a way to draw a venn diagram. I do not know how draw that here. I got this link which has venn diagram. Please check this link.
http://www.urch.com/forums/showthrea...85%25+surveyed (Set Theory Q (consumer survey))
After checking out Scoot's link (and following the links from there), I have found the following general formulas for three-component set problems:
If there are three sets A, B, and C, then
P(AuBuC) = P(A) + P(B) + P(C) – P(AnB) – P(AnC) – P(BnC) + P(AnBnC)
Number of people in exactly one set =
P(A) + P(B) + P(C) – 2P(AnB) – 2P(AnC) – 2P(BnC) + 3P(AnBnC)
Number of people in exactly two of the sets =
P(AnB) + P(AnC) + P(BnC) – 3P(AnBnC)
Number of people in exactly three of the sets =
P(AnBnC)
Number of people in two or more sets =
P(AnB) + P(AnC) + P(BnC) – 2P(AnBnC)
Last edited by TwinnSplitter; 04-30-2005 at 05:23 AM. Reason: typo
To add to TwinSplitter's forumla list:
No of people in atleast 1 set =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) + 2 P(AnBnC)
This formula can also be derived from:
No of people in atleast 1 set =
no of people in exactly 1 set + no of people in exactly 2 set + no of people in exactly 3 set
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More you look, more you see!
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