A psychologist found that a laboratory mouse placed in a T-maze will go down the same branch with probability 0.8 if there was food there on the previous trial and that it will go down the same branch with probability 0.6 if there was no food there on the previous trial. Find the steady-state vector for this experiment. If the mouse takes the branches with equal probability when no reward is found, does it appear that the mouse "learns" to choose the food path?