I have to solve given task: $$P(A\bar{B})=0,32 \\ P(\bar{A}B)=0,11 \\ P(A+B)=0,65$$
a) find $P(A)$, $P(B)$, $P(A|\bar{B})$
b) Have to tell does $A$ and $B$ are independent and explain why
I don't know how to solve it. I am familiar with basic formulas but not with compliments. Can you please help
HINT
(Draw a Venn diagram to see this)
Denote $a = A \cap \bar{B}, b = B \cap \bar{A}, i = A \cap B, e = \bar{A} \cap \bar{B}$.
Then clearly, $a+b+e+i=1$ and your constraints impose $a = 0.32, b = 0.11$, and $a+i+b = 0.65$
Can you solve for the rest of the components? Note $P(A) = a+i, P(B) = b+i$ and then apply definition of conditional probability...