Math Problem Statement
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:
Simplifying:
To express this as a percentage:
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:
- What is the probability of drawing a Heart from the same deck?
- What is the probability of drawing a red card (Hearts or Diamonds)?
- What is the probability of drawing a black card (Clubs or Spades)?
- How would the probability change if two cards are drawn without replacement?
- 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.
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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
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