A card is drawn from a well-shuffled deck of 52 cards. What is the probability that the card will have a value of 6 and be a face card?

There are a total of 4 face cards (Jack, Queen, King) in each suit, and 4 suits in a deck (hearts, diamonds, clubs, spades). Therefore, there are a total of 4 face cards * 4 suits = 16 face cards in a deck.

Since a face card cannot have a value of 6, the probability of drawing a card that is both a face card and has a value of 6 is 0.

Therefore, the probability that the card will have a value of 6 and be a face card is 0.