Answer
The probability that a king card is not dealt from a pack of 52 cards is $\frac{12}{13}$.
Work Step by Step
We know that the number of king cards in a pack of cards is 4.
$\begin{align}
& P\left( \text{dealt a king card} \right)=\frac{\text{number of king cards}}{\text{total number of cards in the deck}} \\
& =\frac{4}{52} \\
& =\frac{1}{13}
\end{align}$
Therefore, for the probability that a king card is not dealt is given below,
$\begin{align}
& P\left( \text{not dealt a king card} \right)\text{=1}-P\left( \text{dealt a king card} \right) \\
& =1-\frac{1}{13} \\
& =\frac{12}{13}
\end{align}$
Hence, the probability that a king card is not dealt is $\frac{12}{13}$.
