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Worked Examples · Example 5

Q.A card is drawn at random from a well-shuffled deck of 52 playing cards. Classify each of the following as a simple or compound event:

(i) drawing the king of hearts,
(ii) drawing a king,
(iii) drawing a face card.
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A standard deck has 52 cards: 13 ranks (Ace to King) in each of 4 suits (hearts, diamonds, clubs, spades).

  1. Drawing the king of hearts: exactly ONE card in the whole deck is the king of hearts, so this event ={K♡}=\{K\heartsuit\} has 11 sample point — a simple event.
  2. Drawing a king: there is one king in each of the 4 suits, so this event ={K♡,K♢,K♣,K♠}=\{K\heartsuit, K\diamondsuit, K\clubsuit, K\spadesuit\} has 44 sample points — a compound event.
  3. Drawing a face card: the face cards are Jack, Queen, and King in each of the 4 suits, giving 3×4=123 \times 4 = 12 cards in total — this event has 1212 sample points — a compound event. …

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