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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

{Jack Hearts, King Hearts}
left brace Jack Hearts comma King Hearts right brace

{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 Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}
left brace Jack Hearts comma Jack Diamonds comma Jack Clubs comma Jack Spades comma King Hearts comma King Diamonds comma King Clubs comma King Spades right brace

{Jack Hearts, Jack Spades, King Hearts, King Spades}

1 answer

To describe the event of drawing a face card with a man on it from a standard deck of 52 cards, we need to identify the face cards that have male figures. In a traditional deck, the face cards are:

  • Jacks (1 for each of the 4 suits)
  • Kings (1 for each of the 4 suits)

The Jack is male, and is present in the following suits:

  • Jack of Hearts
  • Jack of Diamonds
  • Jack of Clubs
  • Jack of Spades

The King is also male, and is present in the following suits:

  • King of Hearts
  • King of Diamonds
  • King of Clubs
  • King of Spades

Thus, the complete set of outcomes for drawing a face card with a man on it includes all the Jacks and Kings from all suits:

  • Jack of Hearts
  • Jack of Diamonds
  • Jack of Clubs
  • Jack of Spades
  • King of Hearts
  • King of Diamonds
  • King of Clubs
  • King of Spades

Combining all these, the event can be written as:

{Jack Hearts, Jack Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}

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