Conditional probability knowing probability of sick diagnosis and being sick and get sick diagnosis
I know that probability of sick diagnosis is 0.10 and i know that probability to be sick and get sick diagnosis is 0.08.
I know that the probability to be sick and get sick diagnosis is 0.08/0.10=0.80
How can i get probability when i am healthy and stil get sick diagnosis?
I know that $$P(\overline A|B)= 1- P(A|B) = 1- 0.8 = 0.2$$ but how can i use this to solve the problem? Is it just 0.10/0.20=0.5?