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.
113
413
152
1352
113
413
152
1352
Answers
GPT-4o mini
To find the probability of drawing a queen from a standard deck of 52 cards, we need to determine how many queens are in the deck and then divide that by the total number of cards.
In a standard deck of 52 cards, there are 4 queens (one from each suit: hearts, diamonds, clubs, and spades).
The probability \( P \) of drawing a queen can thus be calculated using the formula:
\[
P(\text{drawing a queen}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} = \frac{4}{52}
\]
We can simplify this fraction:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Hence, the probability of drawing a queen from the deck is \( \frac{1}{13} \).
To answer your question, the probability is not found directly in the numbers you provided (113, 413, 152, 1352), but the simplified probability of drawing a queen is \( \frac{1}{13} \).
In a standard deck of 52 cards, there are 4 queens (one from each suit: hearts, diamonds, clubs, and spades).
The probability \( P \) of drawing a queen can thus be calculated using the formula:
\[
P(\text{drawing a queen}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} = \frac{4}{52}
\]
We can simplify this fraction:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Hence, the probability of drawing a queen from the deck is \( \frac{1}{13} \).
To answer your question, the probability is not found directly in the numbers you provided (113, 413, 152, 1352), but the simplified probability of drawing a queen is \( \frac{1}{13} \).