BOOLEAN ALGEBRA OPERATIONS
Name of
Operation
Familiar
Symbol
_
Complementation
Intersection
Meaning
" not "

Example
_
R = no rain
" but "
C  R = a day that is cloudy and rainy
C  R = a day that is cloudy with rain
_
R  H = no rain but humid
no word
C  R = a cloudy rainy day
" and "
" with "
Union

" or "
C  R = a cloudy or rainy day
Condition
|
" given "
R | C = rain given clouds
" if "
R | C = rain if it's cloudy
" when "
R | C = rain when it's cloudy
" in light
of the
fact that "
R | C = rain, in light of
fact that it is cloudy
“ of ”
P(R | C) = 0.25 can be stated as:
25% of the cloudy days have rain.
P(C | R) = 1.00 can be stated as:
All of the rainy days have clouds