You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
A. $\frac{1}{663}$
B. $\frac{2}{13}$
C. $\frac{13}{102}$
D. $\frac{4}{663}$

Step 1 ：We are given a shuffled deck of 52 playing cards. We are asked to find the probability that the first card drawn is a king and the second card drawn is a queen. The cards are drawn successively without replacement.

Step 2 ：There are 4 kings and 4 queens in a deck of 52 cards.

Step 3 ：The total number of outcomes when drawing two cards from a deck of 52 is \(52 \times 51\). This is because after drawing the first card, there are only 51 cards left in the deck.

Step 4 ：The number of favorable outcomes is the product of the number of ways to draw a king first and the number of ways to draw a queen second. This is \(4 \times 4 = 16\).

Step 5 ：The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Therefore, the probability of drawing a king first and then a queen is \(\frac{16}{52 \times 51}\).

Step 6 ：Simplifying this fraction gives us \(\frac{4}{663}\).

Step 7 ：Final Answer: The correct answer is \(\boxed{\frac{4}{663}}\).