If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a diamond or club? (Your answer must be in the form of a reduced fraction.)

A standard deck of 52 cards has 4 suits: spades, hearts, diamonds, and clubs. Each suit has 13 cards.

To solve for the probability of selecting a card that is either a diamond or a club:

1. **Number of favorable outcomes**:  
   There are 13 diamonds and 13 clubs in the deck, giving a total of:
   \[
   13 + 13 = 26 \quad \text{favorable outcomes}.
   \]

2. **Total possible outcomes**:  
   The total number of cards in the deck is 52.

3. **Probability formula**:  
   The probability \(P\) of selecting a diamond or club is the ratio of favorable outcomes to total outcomes:
   \[
   P = \frac{26}{52}.
   \]

4. **Simplify the fraction**:
   \[
   P = \frac{26}{52} = \frac{1}{2}.
   \]

Thus, the probability of selecting a diamond or a club is \( \frac{1}{2} \).

Would you like more details or have any questions about this?

Here are some related questions:
1. What is the probability of selecting a heart or spade?
2. What is the probability of selecting a face card (Jack, Queen, King) from a standard deck?
3. What is the probability of drawing a red card from a deck?
4. If two cards are drawn consecutively without replacement, what is the probability both are diamonds?
5. What is the probability of drawing an Ace from the deck?

**Tip:** When calculating probabilities, always reduce fractions to their simplest form to ensure clarity.

Learn how to calculate the probability of selecting a diamond or a club from a well-shuffled deck of 52 cards. This problem covers fundamental probability concepts and uses the basic probability formula. The solution is explained step-by-step and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation