A product can have three kinds of defects: A, B, C. It is rejected if$\displaystyle (A \cap B) \cup C$.

It is known that $\displaystyle P(A) = 0.15 , P(B) = 0.25 , P(C) = 0.30$.

It is also known that $\displaystyle P(A|C) = 1.3\cdot P(A)$ and $\displaystyle P(B|C) = 2\cdot P(B)$.

Also A and B are independent.

What is $\displaystyle P[(A \cap B) \cup C] $ ?

Some one can help me with this?

Thanks in advance