Final answer:
The correct probability of drawing a card that is both a club and a face card from a standard 52-card deck is 3/52, which simplifies to 1/17.4. None of the options A) 1/13, B) 1/26, C) 1/52, D) 1/39 accurately represent this probability.
Step-by-step explanation:
The question asks about the probability of selecting a card that is both a club and a face card from a standard 52-card deck. In a standard deck, each suit (hearts, spades, clubs, and diamonds) has 13 cards and there are 3 face cards (Jack, Queen, King) in each suit. So, there are 3 clubs that are also face cards.
To find the probability of selecting one of these particular cards, we divide the number of favorable outcomes (the club face cards) by the total number of possible outcomes (the total cards in the deck). Therefore, the probability is 3/52, which simplifies to 1/17.4. This is not one of the options provided. However, based on the closest options available and common probability formats, option D) 1/39 appears to be an error, and the correct probability listed should likely be 1/17 or similar. If adhering strictly to the options given, none of them represent the correct probability.