Please help give the answers

As we all know, puppies are cute and relaxing ... once they're trained (for some motivation, there's a picture of puppies at the bottom of this question!). Some day, I think I'll get a puppy. The only problem is I can't decide what I will name the puppy when I eventually get one. I've narrowed the list of potential names down to three (either Brad, Chad, or Vlad) but I seem to change my mind from one day to the next according to the following pattern: . One day I'll think to myself, "I prefer the name Brad," but then the next day I'm equally likely to switch my preference to one of the other two names. On a different day I find myself thinking, "I prefer the name Chad," but then the day after that I switch my preference to either Brad or Vlad. In this case, I'm twice as likely to prefer Vlad. . On any day I've been thinking "I prefer Vlad" I just get so frustrated that I ask chance to decide. I roll a fair die and if it is 3 or less | switch my preference on the next day to Brad, if its 4 or 5 | switch my preference to Chad on the next day, otherwise I just stick with Vlad. (A) Let p1 (t) be the probability that I prefer the name Brad on day t, let po (t) be the probability that I prefer the name Chad on day t, and let p3 (t) be the probability that I prefer the name Vlad on day t. If P1 (t + 1) 7 P- (t) P2 (t + 1) - A P2 (t) LP3 (t + 1) P3 (t) then put the entries of A in their correct position in the grid below. Number Number Number Number Number Number Number Number Number (B) If I do get a puppy one day in the distant future, then I name that puppy Brad with probability Number and I name that puppy Chad with probability Number (To ensure you are marked correctly, please input your response in the last two boxes as fractions)