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.

Answer 1

In a standard deck of 52 playing cards, we categorize the cards by color (red and black) and by suit (hearts, diamonds, spades, and clubs) with each suit containing various values (Ace, 2 through 10, Jack, Queen, King). The face cards are the Jack, Queen, and King.

To describe the event of drawing a face card with a man on it, we identify the face cards in the deck:

1. Jacks - These are the male face cards.
2. Kings - These are also male face cards.

The Queen, while also a face card, is not included in our subset since it does not feature a male figure.

Now, let's enumerate the Jacks and Kings in each suit:

• Jacks:

  • Jack of Hearts (red)
  • Jack of Diamonds (red)
  • Jack of Spades (black)
  • Jack of Clubs (black)

• Kings:

  • King of Hearts (red)
  • King of Diamonds (red)
  • King of Spades (black)
  • King of Clubs (black)

Now, combining all the outcomes of drawing a face card with a man on it, we have the following:

Outcomes for Drawing a Face Card with a Man on It:

1. Jack of Hearts
2. Jack of Diamonds
3. Jack of Spades
4. Jack of Clubs
5. King of Hearts
6. King of Diamonds
7. King of Spades
8. King of Clubs

Thus, the subset of the set of all outcomes for the event of drawing a face card with a man on it includes a total of 8 possible outcomes.