If sample information is obtained, the result of the sample information will be either positive or negative report. No matter which result occurs, the choice to select option A or option B exists. And no matter which option is chosen, the eventual outcome will be good or poor. We know that P(good)=0.7 and P(poor)=0.3. Also, we know P( positive|good )=0.8, and P( positive|poor )=0.1. Please find the values of all posterior probabilities (in total there are 4 of them, for example P(good | negative)), and P(receive a positive report) and P( receive a negative report). Please show details of how you get the value.