Consider a new game of cards called Lucky7. The only cards in the game are 2s, 3s and 4s. You can repeatedly draw a card (with replacement) that is equally likely to be a 2, 3, or 4. You can either Draw or Stop if the total score of the cards you have drawn is less than 7. Otherwise, you must Stop. When you Stop, your utility is equal to your total score (up to 6), or zero if you get a total of 6 or higher. When you Draw, you receive no utility. There is no discount ( gamma = 1). b) What is the transition function and the reward function for this MDP?