A card is drawn from a deck of cards. Find the probability of getting a red card provided that the card drawn is already a face card?*1 point3/133/261/61/2
Question
A card is drawn from a deck of cards. Find the probability of getting a red card provided that the card drawn is already a face card?
- 1 point
- 3/13
- 3/26
- 1/6
- 1/2
Solution
In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds) and 12 face cards (kings, queens, and jacks of each suit).
However, the question is asking for the probability of drawing a red card given that the card drawn is already a face card.
There are 6 red face cards in a deck (the king, queen, and jack of hearts and diamonds).
So, the probability of drawing a red card given that the card drawn is already a face card is 6/12 = 1/2.
So, the answer is 1/2.
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