5 (4 points) Two litters of a particular rodent species have been born, one with two brownhaired and one gray-haired (litter 1), and the other with three brown-haired and two gray-haired (litter 2). We select a litter at random and then select an offspring at random from the selected litter. (a) What is the probability that the animal chosen is gray-haired? (1 point) (b) Given that a gray-haired offspring was selected, what is the probability that the sampling was from litter 1 ? (1.5 points) (c) Given that a brown-haired offspring was selected, what is the probability that the sampling was from litter 2? (1.5 points) Note: To get full points, include major intermediate steps