What are the odds in favor of drawing face card from an ordinary deck of cards?
to
To calculate the odds in favor of drawing a face card from an ordinary deck of cards, we need to determine the number of favorable outcomes (drawing a face card) and the total number of possible outcomes.
An ordinary deck of cards consists of 52 cards, with 4 different suits (hearts, diamonds, clubs, and spades) and 13 different ranks (2 through 10, and face cards: Jack, Queen, and King).
There are a total of 12 face cards in a deck (Jack, Queen, and King of each of the 4 suits). Now, we can calculate the odds in favor of drawing a face card.
Number of favorable outcomes: 12 face cards
Total number of possible outcomes: 52 cards
To find the odds in favor, we divide the number of favorable outcomes by the total number of possible outcomes:
Odds in favor = Favorable outcomes / Total outcomes
Odds in favor of drawing a face card = 12 / 52
Simplifying the fraction, we get:
Odds in favor of drawing a face card = 3 / 13
So, the odds in favor of drawing a face card from an ordinary deck of cards are 3 in 13.