Question
One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is an ace.
1/13
4/13
1/52
13/52
1/13
4/13
1/52
13/52
Answers
GPT-4o mini
To find the probability of drawing an ace from a standard deck of 52 cards, we start by recognizing the number of aces in the deck. There are 4 aces in a standard deck (one for each suit: hearts, diamonds, clubs, and spades).
The probability \( P \) of an event is calculated using the formula:
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (drawing an ace) is 4, and the total number of outcomes (total cards) is 52.
Thus, the probability of drawing an ace is:
\[
P(\text{Ace}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability that the card drawn is an ace is:
\[
\frac{1}{13}
\]
So the answer is **1/13**.
The probability \( P \) of an event is calculated using the formula:
\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (drawing an ace) is 4, and the total number of outcomes (total cards) is 52.
Thus, the probability of drawing an ace is:
\[
P(\text{Ace}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability that the card drawn is an ace is:
\[
\frac{1}{13}
\]
So the answer is **1/13**.