Question
A standard deck of 52 cards contains 4 acres. What is the probability of randomly drawing a card that is not an ace?
1)1/13
2)51/52
3)3/4
4)12/13
1)1/13
2)51/52
3)3/4
4)12/13
Answers
GPT-4o mini
To find the probability of randomly drawing a card that is not an ace from a standard deck of 52 cards, we first need to determine how many cards are not aces.
A standard deck has 4 aces. Therefore, the number of cards that are not aces is:
\[ 52 - 4 = 48 \]
Now, the probability of drawing a card that is not an ace is calculated as the number of non-ace cards divided by the total number of cards in the deck:
\[
P(\text{not an ace}) = \frac{\text{Number of non-ace cards}}{\text{Total number of cards}} = \frac{48}{52}
\]
To simplify:
\[
\frac{48}{52} = \frac{12}{13}
\]
So, the probability of randomly drawing a card that is not an ace is:
**4) 12/13**
A standard deck has 4 aces. Therefore, the number of cards that are not aces is:
\[ 52 - 4 = 48 \]
Now, the probability of drawing a card that is not an ace is calculated as the number of non-ace cards divided by the total number of cards in the deck:
\[
P(\text{not an ace}) = \frac{\text{Number of non-ace cards}}{\text{Total number of cards}} = \frac{48}{52}
\]
To simplify:
\[
\frac{48}{52} = \frac{12}{13}
\]
So, the probability of randomly drawing a card that is not an ace is:
**4) 12/13**