4 Answers By Expert Tutors

By:

Casey W.

tutor
There is a very nice anogy here between complimentary percents and the set theoretic notion of compliment within a universe:
 
given a universe X, and a set A in X, the compliment of A, denoted A' or Abar is the set X-A = {x's in X that are not in A}.
 
to construct probability theory we create measure spaces by assigning the universe a value of full measure or 1.00 or 100%...meaning everything in consideration is in X, 100% of the time! Then the probabity of living in A can be considered as a proportion of |A|/|X|, at least for finite sets...for larger sets, we need a more complex notion of measurement, and are even free to reinterpret the notion size depending on the setting!
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06/15/15

Andrew M.

Looked at simply we have the chance of event A happening is 35%
The complement is the chance of event A not happening is A' = 100%-35% = 65%
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06/16/15

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