Consider three boxes: one containing two gold coins, one containing two silver coins, and one containing one gold coin and one silver coin. We choose a box at random and withdraw a coin. If the coin is gold, what is the probability that the next coin drawn from that box is also gold? (Check your intuition before proceeding.) (a) Give a solution. You may nd Bayes' theorem (Davis 8.8, Bertsekas 1.4) useful. (b) Extend your solution to 3 boxes containing two gold coins, .5 boxes containing two silver coins, and [3 boxes containing one gold coin and one silver coin. (c) Give a Python simulation conrming your solution. Be sure to vary 3, s, and b