## Precalculus (6th Edition) Blitzer

The probability that a king card is not dealt from a pack of 52 cards is $\frac{12}{13}$.
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 $\frac{12}{13}$.