estions. (1) (4 marks) Professor Balthazar has three cages of rats in his lab. The first cage has six rats of which 2 are white and 4 are black. The second cage has 3 white and 3 black rats and the last cage has 1 white and 5 black rats. A grad students is asked to bring a rat for an experiment. To have fun (Grad students usually get bored :D), the student decides to roll a die and if an odd number comes up, she takes a rat randomly from the first cage. If the number six comes up, she will take a rat (randomly) from the second cage and otherwise a rat from the third cage. (a) Find the probability that a white rat is chosen for the experiment