You have two jars of cookies, each of which starts with n cookies initially. every day, when you come home, you pick one of the two jars randomly (each jar is chosen with probability 1/2) and eat one cookie from that jar. one day, you come home and reach inside one of the jars of cookies, but you find that is empty! let x be the random variable representing the number of remaining cookies in non-empty jar at that time. what is the distribution of x?