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 king.
113
413
152
1352
113
413
152
1352
Answers
GPT-4o mini
In a standard deck of 52 cards, there are 4 kings (one for each suit: hearts, diamonds, clubs, and spades).
To find the probability of drawing a king, we use the formula for probability:
\[
P(\text{drawing a king}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Here, the number of favorable outcomes (drawing a king) is 4, and the total number of outcomes (total cards) is 52.
Thus,
\[
P(\text{drawing a king}) = \frac{4}{52} = \frac{1}{13}
\]
So, the probability that the card drawn is a king is \(\frac{1}{13}\).
Now, we'll examine the options you provided: 113, 413, 152, 1352. None of these correspond to \(\frac{1}{13}\). It is possible there was a misunderstanding in interpreting the options.
The correct answer in probability form is \(\frac{1}{13}\).
To find the probability of drawing a king, we use the formula for probability:
\[
P(\text{drawing a king}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Here, the number of favorable outcomes (drawing a king) is 4, and the total number of outcomes (total cards) is 52.
Thus,
\[
P(\text{drawing a king}) = \frac{4}{52} = \frac{1}{13}
\]
So, the probability that the card drawn is a king is \(\frac{1}{13}\).
Now, we'll examine the options you provided: 113, 413, 152, 1352. None of these correspond to \(\frac{1}{13}\). It is possible there was a misunderstanding in interpreting the options.
The correct answer in probability form is \(\frac{1}{13}\).