Suppose we have two separate bags of balls. Bag A has 3 balls in it, some white some black but we don't know how many of each color. Bag B has 1 white balls and 2 black balls. You draw two balls from Bag A and move them to Bag B. Then, you draw 3 balls sequentially from Bag B. Suppose the sequence of the these balls turns out to be Black-White-Black. We are interested in the composition of balls in Bag A. List your hypotheses and count up all the ways the observed data can happen. Which hypothesis would you believe more? Note that multiple hypotheses could have the same likelihood. Using this example, explain the maximum likelihood estimation.