this is some kinda of discrete set theory I want help with, heres the question and what I have so far, can someone explain what P(A) is, P(~A^B) and (P^~B)
also what are the independent variables.
I've included the questions in a pic, and i've written my work the best I could.
P(A^B) :: 0.3
P(A|B) :: 0.5 :: P(A) / P(A^B) , So, P(A) :: 0.5 * 0.3 :: 0.15
Now, P(~A^~B) :: 0.1 ,or , P(A v B) :: 1 -0.1 :: 0.9 :: P(A) +P(B) - P(A^B) , which gives P(B) is greater than 1.0 , this can't happen!