An urn contains 7 red, 11 blue, and 13 yellow balls. Carmela, Daniela, and Lucrezia play a game in which they take turns and draw balls from the urn, successively, at random and with replacement....

An urn contains 7 red, 11 blue, and 13 yellow balls. Carmela, Daniela, and Lucrezia play a game in which they take turns and draw balls from the urn, successively, at random and with replacement. Suppose that the colors red, blue, and yellow are assigned to Carmela, Daniela, and Lucrezia, respectively. The only rule governing the game is that, as long as a player draws her own color, she will keep drawing balls from the urn. When a ball of another player’s color is drawn, that player will begin drawing balls, and the game will continue. Determine the long-run proportion of balls drawn by each player.