Hi
Can someone please give the formula's for:
Pr(A'nB')
and
Pr(A'UB')
Many thanks in advance!!
Can someone please give the formula's for:
Pr(A'nB')
and
Pr(A'UB')
Many thanks in advance!!
-
i) Pr(A'∩ B') = Pr(A ∪ B)'
ii)Pr(A' ∪ B') = Pr(A∩ B)'
they are not necessarily formulas but derivations.
if you know your sets very well you can derive these 'formulas'.
check this sketch here
http://i1321.photobucket.com/albums/u552…
ii)Pr(A' ∪ B') = Pr(A∩ B)'
they are not necessarily formulas but derivations.
if you know your sets very well you can derive these 'formulas'.
check this sketch here
http://i1321.photobucket.com/albums/u552…
-
Generally,
Intersection
P(a ∩ b) =
P(a) * P(b)..........(if a and b are independent)
P(a | b) * P(b).....(if a and b are dependent)
Union
P(a U b) =
P(a) + P(b) - P(a ∩ b).....(if a and b are not mutually exclusive)
P(a) + P(b)......................(if a and b are mutually exclusive)
Intersection
P(a ∩ b) =
P(a) * P(b)..........(if a and b are independent)
P(a | b) * P(b).....(if a and b are dependent)
Union
P(a U b) =
P(a) + P(b) - P(a ∩ b).....(if a and b are not mutually exclusive)
P(a) + P(b)......................(if a and b are mutually exclusive)
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