Math Problem Statement

What is the probability that a randomly drawn card is a Diamond from a standard deck of 52 cards?

Solution

To solve this problem, we need to determine the probability that a randomly drawn card from a standard deck is a Diamond.

Breakdown:

  • There are 52 cards in a standard deck.
  • There are 4 suits: Hearts, Diamonds, Clubs, and Spades.
  • Each suit contains 13 cards.

Thus, the number of Diamond cards in the deck is 13.

Probability Calculation:

The probability of drawing a Diamond is the ratio of Diamond cards to the total number of cards in the deck: Probability=Number of Diamond cardsTotal number of cards=1352\text{Probability} = \frac{\text{Number of Diamond cards}}{\text{Total number of cards}} = \frac{13}{52}

Simplifying: 1352=14\frac{13}{52} = \frac{1}{4}

To express this as a percentage: 14×100=25%\frac{1}{4} \times 100 = 25\%

Final Answer:

The probability of drawing a Diamond is 25%.

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

Here are some related questions:

  1. What is the probability of drawing a Heart from the same deck?
  2. What is the probability of drawing a red card (Hearts or Diamonds)?
  3. What is the probability of drawing a black card (Clubs or Spades)?
  4. How would the probability change if two cards are drawn without replacement?
  5. What is the probability of drawing an Ace from the deck?

Tip: When dealing with probabilities, always check if you're asked to express your answer as a fraction, decimal, or percentage.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Fractions
Percentages

Formulas

Probability = (Number of favorable outcomes) / (Total number of outcomes)
Percentage = (Fraction) * 100

Theorems

Basic probability theory

Suitable Grade Level

Grades 6-8