To determine the probability of drawing a red face card from a standard deck of playing cards, we first need to understand the composition of the deck and what constitutes a red face card.
A standard deck consists of 52 cards, which are divided into four suits: hearts, diamonds, clubs, and spades. Of these suits, hearts and diamonds are red, while clubs and spades are black. Each suit includes three face cards: a jack, a queen, and a king.
Now, let’s focus on the red face cards. The suits that are red (hearts and diamonds) each contain three face cards:
- Hearts: Jack of Hearts, Queen of Hearts, King of Hearts
- Diamonds: Jack of Diamonds, Queen of Diamonds, King of Diamonds
This means there are a total of:
- 3 face cards from hearts
- 3 face cards from diamonds
In total, there are:
- 6 red face cards (3 from hearts + 3 from diamonds).
To calculate the probability of drawing a red face card, we apply the probability formula:
Probability (P) = (Number of favorable outcomes) / (Total number of outcomes)
In this scenario:
- Number of favorable outcomes (red face cards) = 6
- Total number of outcomes (total cards) = 52
Thus, the probability of drawing a red face card can be calculated as:
P = 6 / 52
This fraction can be simplified:
P = 3 / 26
Thus, the probability of drawing a red face card from a standard deck of cards is approximately 11.54% when expressed as a percentage.
In summary, when you draw a card from a well-shuffled standard deck, the chance of it being a red face card is about 11.54%.