A room contains four urns. Three of them are Type X, one is Type Y. . The Type X urns each contain 3 black marbles, 2 white marbles. o The Type Y urn contains 1 black marble, 4 white marbles. You are going to pick an urn at random and start drawing marbles from it at random without replacement. Previously you calculated the probability the urn is Type X given that the first draw is black. a. What is the probability the urn is Type X if the first draw is black and the second is white? b. What is the probability the urn is Type X if the first draw is white and the second is black? c. What is the probability the third draw will be black, if the first draw is black and the second is white