To find the probability of getting a red face card in a standard deck of 52 playing cards, we need to first identify how many red face cards are in the deck.
A standard deck has two colors: red and black. The red cards consist of hearts and diamonds. Each suit has three face cards: the Jack, Queen, and King. Therefore, in the red suits (hearts and diamonds), there are:
- 1 Jack of Hearts
- 1 Queen of Hearts
- 1 King of Hearts
- 1 Jack of Diamonds
- 1 Queen of Diamonds
- 1 King of Diamonds
This gives us a total of 6 red face cards in the deck.
Now, to find the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case, the number of favorable outcomes is 6 (the red face cards), and the total number of possible outcomes is 52 (the total number of cards in the deck). So, we calculate:
Probability = 6 / 52 = 3 / 26
Thus, the probability of drawing a red face card from a deck of 52 cards is 3/26, which simplifies to approximately 0.1154 or 11.54%.