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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, Jack Spades, King Hearts, King Spades}
left brace Jack Hearts comma Jack Spades comma King Hearts comma King Spades 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, King Hearts}

1 answer

To determine the outcomes for drawing a face card with a man on it from a standard deck of 52 playing cards, we first need to identify the face cards that contain men. In a standard deck, the face cards are the Jack, Queen, and King. However, since we are only interested in face cards with male figures, we will exclude the Queens.

The relevant face cards (with male figures) in a standard deck are:

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

Now, let's write the subset of outcomes for drawing a face card with a man on it:

The correct expression that lists all the male face cards is: {Jack Hearts, Jack Diamonds, Jack Clubs, Jack Spades, King Hearts, King Diamonds, King Clubs, King Spades}

Therefore, the correct option among the responses provided is:

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