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.
1/13
4/13
1/52
13/52

Answer 1

To find the probability of drawing a king from a standard deck of 52 cards, we first note that there are 4 kings in the deck (one from each suit: hearts, diamonds, clubs, and spades).

The formula for probability is given by:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case:

- Number of favorable outcomes (drawing a king) = 4
- Total number of outcomes (total cards) = 52

So, the probability of drawing a king is:

\[
\text{Probability} = \frac{4}{52}
\]

This simplifies to:

\[
\frac{4}{52} = \frac{1}{13}
\]

Thus, the probability that the card drawn is a king is \(\frac{1}{13}\).

The correct answer is:

\(\frac{1}{13}\)