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Softa [21]
2 years ago
10

Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face

cards in the hand is (Q
Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards.  Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards.  We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.  

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