To find the probability that you are not dealt an ace from a standard 52-card deck, we will start by determining the total number of cards and the number of aces in the deck.
- Total number of cards in a deck: 52
- Number of aces in a deck: 4
Now, we can calculate the number of cards that are not aces:
\[ \text{Number of non-ace cards} = \text{Total cards} - \text{Number of aces} = 52 - 4 = 48 \]
Now, the probability of drawing a card that is not an ace is given by the ratio of the number of non-ace cards to the total number of cards:
\[ \text{Probability (not an ace)} = \frac{\text{Number of non-ace cards}}{\text{Total number of cards}} = \frac{48}{52} \]
We can simplify this fraction:
\[ \frac{48}{52} = \frac{12}{13} \]
Thus, the probability that you are not dealt an ace is
\[ \frac{12}{13} \]
So, the final answer is:
\[ \frac{12}{13} \]