Solution:
Given:
[tex]\begin{gathered} total\text{ cards}=52 \\ number\text{ of kings = 4} \\ number\text{ of diamonds = 13} \end{gathered}[/tex]From the numbers, the number of king and diamond cards = 1
Hence, the probability that the card is a king and a diamond is;
[tex]P(King\text{ and diamond\rparen}=\frac{1}{52}[/tex]