We have a bag of three biased coins a, b, and c with probabilities of coming up headsof 20%, 60%, and 80%, respectively. One coi
n is drawn randomly from the bag (withequal likelihood of drawing each of the three coins), and then the coin is flipped threetimes to generate the outcomes X1, X2, and X3.I.) draw the bayesian network corresponding to this setup and define the necessary cpts. Ii.) calculate which coin was most likely to have been drawn from the bag if the observed flips come out heads twice and tails once. Justify your answer.
