Math Problem Statement

What is the probability that a randomly drawn card is RED?

Solution

To solve the question:

We know that:

  • A standard deck of cards contains 52 cards.
  • There are 4 suits (Hearts, Diamonds, Clubs, Spades) with 13 cards each.
  • Hearts and Diamonds are Red cards, while Clubs and Spades are Black cards.

So, the number of red cards is:

  • 13 Hearts + 13 Diamonds = 26 Red cards.

The probability of drawing a red card is: 26red cards52total cards=12=0.5\frac{26 \, \text{red cards}}{52 \, \text{total cards}} = \frac{1}{2} = 0.5

As a percentage: 0.5×100=50%0.5 \times 100 = 50\%

Thus, the probability of drawing a red card is 50%.

Would you like further explanation or details on this?

Here are 5 related questions to expand your understanding:

  1. What is the probability of drawing a black card instead?
  2. How would the probability change if two cards are drawn without replacement?
  3. What is the probability of drawing a face card (Jack, Queen, King) from a standard deck?
  4. If one card is drawn, what is the probability it is a heart or a spade?
  5. How many red face cards are there in a deck?

Tip: Probabilities are often calculated as fractions, but converting them into percentages makes them easier to interpret in real-world contexts.

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Math Problem Analysis

Mathematical Concepts

Probability
Basic Set Theory

Formulas

Probability of an event = (Favorable outcomes / Total outcomes) × 100

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8