Sure! Let's solve the problem step by step:
1. First, let's understand the composition of a standard deck of playing cards. A standard deck contains 52 cards in total.
2. These 52 cards are divided into four suits: hearts, diamonds, clubs, and spades, each containing 13 cards.
3. Among these suits, hearts and diamonds are considered red cards. Therefore, the total number of red cards in the deck is the sum of hearts and diamonds:
- Number of hearts = 13
- Number of diamonds = 13
- Total number of red cards = 13 (hearts) + 13 (diamonds) = 26
4. To find the probability of drawing a red card, we use the formula for probability:
[tex]\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\][/tex]
5. Here, the number of favorable outcomes (drawing a red card) is 26, and the total number of possible outcomes (drawing any card) is 52. Plugging these values into the formula gives us:
[tex]\[
\text{Probability} = \frac{26}{52}
\][/tex]
6. Simplifying the fraction:
[tex]\[
\frac{26}{52} = \frac{1}{2} = 0.5
\][/tex]
So, the probability that a randomly drawn card from a standard deck is red is [tex]\(0.5\)[/tex] or 50%.
