One of two biased coins A and B is selected and flipped 2 times. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities p(A)=0.3 and p(B)=0.7. When coin A is flipped, the probability of heads is 0.5. When coin B is flipped, the probability of heads is 0.6. Let HH be the event that the selected coin comes up heads 2 times. Complete the values X,Y, and Z in Bayes' Theorem to determine the probability coin B was chosen if both come up heads