ProbabilityA card is drawn at random from a deck of cards. Find the probability of getting the King of heart.Options1/261/521/133/13

1. Break Down the Problem

To find the probability of drawing a King of Hearts from a standard deck of 52 playing cards, we need to understand the composition of the deck and the definition of probability.

2. Relevant Concepts

The probability $P$ of an event happening is given by the formula:

$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

In our case, the event $E$ is drawing the King of Hearts.

3. Analysis and Detail

• Total number of outcomes: A standard deck of cards has 52 cards.
• Favorable outcomes: There is only 1 King of Hearts in a standard deck.

Substituting these values into the probability formula gives us:

$P(\text{King of Hearts}) = \frac{1}{52}$

4. Verify and Summarize

To confirm, we have only one card (the King of Hearts) that matches our favorable outcome, and there are a total of 52 cards in the deck.

Final Answer

The probability of drawing the King of Hearts is $\frac{1}{52}$.