Answer
The probability that a picture card is not dealt from a pack of 52 cards is $\frac{10}{13}$.
Work Step by Step
We know that the total number of picture cards in a deck is 12.
$\begin{align}
& P\left( \text{dealt a picture card} \right)=\frac{\text{number of picture cards}}{\text{total number of cards in the deck}} \\
& =\frac{12}{52} \\
& =\frac{3}{13}
\end{align}$
Therefore, the probability that a picture card is not dealt is given below,
$\begin{align}
& P\left( \text{not dealt a picture card} \right)\text{=1}-P\left( \text{dealt a picture card} \right) \\
& =1-\frac{3}{13} \\
& =\frac{10}{13}
\end{align}$
Hence, the probability that a picture card is not dealt is $\frac{10}{13}$.
