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 a queen.
1/13
4/13
15/2
13/52
1/13
4/13
15/2
13/52
Answers
GPT-4o mini
To determine the probability of drawing a queen from a standard deck of 52 cards, we can use the formula for probability:
\[
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
In a standard deck of 52 cards, there are 4 queens (one for each suit: hearts, diamonds, clubs, and spades).
Thus, the number of favorable outcomes (drawing a queen) is 4, and the total number of possible outcomes (drawing any card) is 52.
Now, substituting these values into the formula gives us:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability that the card drawn is a queen is \( \frac{1}{13} \).
So, the correct answer is:
\(\frac{1}{13}\)
\[
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
In a standard deck of 52 cards, there are 4 queens (one for each suit: hearts, diamonds, clubs, and spades).
Thus, the number of favorable outcomes (drawing a queen) is 4, and the total number of possible outcomes (drawing any card) is 52.
Now, substituting these values into the formula gives us:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability that the card drawn is a queen is \( \frac{1}{13} \).
So, the correct answer is:
\(\frac{1}{13}\)