 A single card is drawn at random from a standard deck of 52 playing cards.  What is the probability that the card drawn at random is a red King?



A standard deck of 52 playing cards consists of 4 suits: hearts, diamonds, clubs, and spades. Hearts and diamonds are red suits, and each suit contains one King.

There are 2 red Kings in the deck: the King of hearts and the King of diamonds.

The probability \( P \) of drawing a red King is the ratio of favorable outcomes (2 red Kings) to the total number of possible outcomes (52 cards):

\[
P(\text{red King}) = \frac{2}{52} = \frac{1}{26}
\]

Thus, the probability of drawing a red King is \( \frac{1}{26} \).

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Here are 5 related questions to explore:
1. What is the probability of drawing any King from the deck?
2. What is the probability of drawing a red card?
3. What is the probability of drawing a face card (Jack, Queen, or King)?
4. If two cards are drawn, what is the probability that both are Kings?
5. What is the probability of drawing a black King?

**Tip:** Probabilities are often expressed as a ratio of favorable outcomes to the total number of possible outcomes. Knowing the total number of options is key to solving such problems.

A single card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card drawn at random is a red King?

Understand the probability of drawing a red King from a standard deck of 52 cards. This problem focuses on basic probability concepts, using the formula P(event) = favorable outcomes / total outcomes. Suitable for students in Grades 6-8.

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