nevincyriac47 nevincyriac47
  • 26-02-2024
  • Mathematics
contestada

If a card is selected from a standard deck of cards, what is the probability of getting a black card given that the card is a face card?

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jimthompson5910 jimthompson5910
  • 26-02-2024

Answer:  1/2

Explanation

The face cards are Jack, Queen, King. Since there are 4 suits, there are 3*4 = 12 face cards in total. Half of which are black, so 6 face cards are black (spades and clubs). The other 6 face cards are red (hearts and diamonds).

So 6/12 = 1/2 is the probability of getting a black card given it is a face card.

The phrasing "given that the card is a face card" means we can ignore the other non-face cards. Simply consider the deck as 12 face cards only.

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brockzvidsoo brockzvidsoo
  • 26-02-2024
1/2 because half are black
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