To determine the probability of drawing a red face card from a standard deck of 52 playing cards, you first need to know how many total face cards there are and how many of those are red.
In a standard deck, there are three face cards in each suit: the King, Queen, and Jack. Since there are four suits (hearts, diamonds, clubs, and spades), this means:
– Total face cards = 3 face cards/suit × 4 suits = 12 face cards
Out of these face cards, only the hearts and diamonds are red suits. Therefore, the red face cards consist of:
- King of Hearts
- Queen of Hearts
- Jack of Hearts
- King of Diamonds
- Queen of Diamonds
- Jack of Diamonds
This gives us a total of:
– Total red face cards = 3 (hearts) + 3 (diamonds) = 6 red face cards
Now, to find the probability, we use the formula for probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
– Number of favorable outcomes = 6 (red face cards)
– Total number of outcomes = 52 (total cards)
So, the probability of drawing a red face card is:
Probability = 6 / 52
This can be simplified:
Probability = 3 / 26
Therefore, the probability of drawing a red face card from a standard deck of 52 playing cards is 3/26 or approximately 0.1154, which translates to about 11.54%.