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
In a standard deck of 52 playing cards, there are 4 queens (one for each suit: hearts, diamonds, clubs, and spades).
To find the probability of drawing a queen, we use the formula for probability:
\[
P(\text{drawing a queen}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Here, the number of favorable outcomes (queens) is 4, and the total number of outcomes (total cards) is 52.
So, the probability \( P \) is given by:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability of drawing a queen from a standard pack of 52 cards is \(\frac{1}{13}\).
The answers provided (113, 413, 152, 1352) do not seem to correspond to any standard probability representation. However, the probability itself is \(\frac{1}{13}\) — you can convert this to any form needed, such as in tenths or as percentage, but the simplest fraction is \(\frac{1}{13}\).
To find the probability of drawing a queen, we use the formula for probability:
\[
P(\text{drawing a queen}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Here, the number of favorable outcomes (queens) is 4, and the total number of outcomes (total cards) is 52.
So, the probability \( P \) is given by:
\[
P(\text{drawing a queen}) = \frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability of drawing a queen from a standard pack of 52 cards is \(\frac{1}{13}\).
The answers provided (113, 413, 152, 1352) do not seem to correspond to any standard probability representation. However, the probability itself is \(\frac{1}{13}\) — you can convert this to any form needed, such as in tenths or as percentage, but the simplest fraction is \(\frac{1}{13}\).