Describe the following event as a subset of the set of all outcomes. If a deck of 52 cards is divided into two colors (red and black) and 4 suits (the red suits diamonds and hearts and the black suits spades and clubs) with 13 different values per suit (Ace, numbers 2 through 10, Jack, Queen, and King), then list the outcomes for drawing a face card with a man on it.(1 point) Responses {King Hearts, King Diamonds, King Clubs, King Spades} left brace King Hearts comma King Diamonds comma King Clubs comma King Spades right brace {Jack Hearts, Jack Spades, King Hearts, King Spades} left brace Jack Hearts comma Jack Spades comma King Hearts comma King Spades right brace {Jack Hearts, King Hearts} left brace Jack Hearts comma King Hearts right brace {Jack Hearts, Jack Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}

1 answer

To determine the outcomes for drawing a face card with a man on it from a standard deck of 52 cards, we need to identify which cards fall into this category.

In a standard deck, the face cards are:

  • Jacks
  • Queens
  • Kings

Out of these, only the Kings and Jacks have a depiction of a man. The Queens are not included since they depict a woman.

The relevant cards with a man are:

  • King of Hearts (King ♥)
  • King of Diamonds (King ♦)
  • King of Clubs (King ♣)
  • King of Spades (King ♠)
  • Jack of Hearts (Jack ♥)
  • Jack of Diamonds (Jack ♦)
  • Jack of Clubs (Jack ♣)
  • Jack of Spades (Jack ♠)

The outcome for drawing a face card with a man on it includes all Kings and Jacks from all suits.

Therefore, the complete outcomes are: {Jack Hearts, Jack Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}

Thus, the correct response is: {Jack Hearts, Jack Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}