Every card in a deck of cards is either a face card (i.e., Jack, Queen or King) or a non-face card (i.e., Ace, 2,..., 10). A box contains nine non-face cards and one face card. A second box contains one non-face and five face cards. One card is removed from each box at random and without replacement. All of the remaining cards are put into a third box. Determine the probability that a card drawn at random from the third box is a face card?