Math Problem Statement

What is the probability of selecting a king from a deck of cards?

Solution

In this image, the question asks for the probability of selecting a king from a standard deck of cards.

A standard deck of cards contains 52 cards in total. There are 4 suits (hearts, diamonds, clubs, and spades), and each suit has one king. Therefore, there are 4 kings in a deck.

The probability of selecting a king is calculated as the ratio of the number of kings to the total number of cards:

Probability=Number of kingsTotal number of cards=452=113\text{Probability} = \frac{\text{Number of kings}}{\text{Total number of cards}} = \frac{4}{52} = \frac{1}{13}

Thus, the correct answer is 113\frac{1}{13}.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is the probability of selecting an ace from a deck of cards?
  2. What is the probability of selecting a face card (king, queen, or jack)?
  3. If two cards are drawn without replacement, what is the probability that both are kings?
  4. What is the probability of selecting a red card from a deck?
  5. What is the probability of selecting a card that is either a spade or a king?

Tip: In probability, when working with a deck of cards, always start by identifying the total number of possible outcomes (52 cards in a standard deck) and the favorable outcomes for the event you're calculating.

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Math Problem Analysis

Mathematical Concepts

Probability
Card Combinatorics

Formulas

Probability = Number of favorable outcomes / Total number of possible outcomes

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8