There are a total of 52 cards in a standard deck.
There are 13 club cards and 13 diamond cards.
The probability of getting a club card is given by
[tex]P(club)=\frac{\text{number of club cards}}{\text{total number of cards}}=\frac{13}{52}[/tex]
The probability of getting a diamond card is given by
[tex]P(diamond)=\frac{\text{number of diamond cards}}{\text{total number of cards}}=\frac{13}{52}[/tex]
The probability of getting a club and diamond is given by
"And" means to multiply the probabilites
[tex]\begin{gathered} P(club\; \; and\; \; diamond)=P(club)\times P(diamond) \\ P(club\; \; and\; \; diamond)=\frac{13}{52}\times\frac{13}{52} \\ P(club\; \; and\; \; diamond)=\frac{169}{2704}=\frac{1}{16} \end{gathered}[/tex]
Therefore, the probability of getting a club and diamond is 1/16
