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 calculate the probability of drawing a king:
1. **Number of favorable outcomes:** There are 4 kings.
2. **Total number of possible outcomes:** There are 52 cards in total.
The probability \( P \) of drawing a king can be calculated using the formula:
\[
P(\text{drawing a king}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{4}{52}
\]
Now, simplifying \( \frac{4}{52} \):
\[
\frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability of drawing a king from a standard deck of 52 cards is \( \frac{1}{13} \).
Since the provided options (113, 413, 152, 1352) do not seem directly related to the probability expressed as a fraction, if you need it in another format or context, let me know! But as for the probability, it is \( \frac{1}{13} \).
To calculate the probability of drawing a king:
1. **Number of favorable outcomes:** There are 4 kings.
2. **Total number of possible outcomes:** There are 52 cards in total.
The probability \( P \) of drawing a king can be calculated using the formula:
\[
P(\text{drawing a king}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{4}{52}
\]
Now, simplifying \( \frac{4}{52} \):
\[
\frac{4}{52} = \frac{1}{13}
\]
Therefore, the probability of drawing a king from a standard deck of 52 cards is \( \frac{1}{13} \).
Since the provided options (113, 413, 152, 1352) do not seem directly related to the probability expressed as a fraction, if you need it in another format or context, let me know! But as for the probability, it is \( \frac{1}{13} \).