A deck of cards contains 52 cards, including 4 kings. If three cards are drawn with replacement, what is the probability that the first card is a king, the second card is a face card, and the third card is a number card?

To solve this problem, we need to understand that "with replacement" means after drawing a card, it is put back into the deck, so the total number of cards remains the same for each draw.

1. The probability of drawing a king: There are 4 kings in a deck of 52 cards. So, the probability of drawing a king is 4/52 or 1/13.

2. The probability of drawing a face card: In a deck, there are 12 face cards (4 Jacks, 4 Queens, and 4 Kings). Since we are replacing the cards, we still have 52 cards in the deck. So, the probability of drawing a face card is 12/52 or 3/13.

3. The probability of drawing a number card: In a deck, there are 36 number cards (2 through 10 of each suit). Again, since we are replacing the cards, we still have 52 cards in the deck. So, the probability of drawing a number card is 36/52 or 9/13.

Since these are independent events, we multiply the probabilities together to get the overall probability. So, the probability that the first card is a king, the second card is a face card, and the third card is a number card is (1/13) * (3/13) * (9/13) = 27/2197.