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A single card is drawn from a standard deck of playing cards. What is theprobability that the card is a face card provided that a queen is drawn from thedeck of cards? Justify your answer.A) 3/13 B) 1/3 C) 4/13 D) 1/52

Question

A single card is drawn from a standard deck of playing cards. What is theprobability that the card is a face card provided that a queen is drawn from thedeck of cards? Justify your answer.A) 3/13 B) 1/3 C) 4/13 D) 1/52

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Solution

The question is asking for the probability that the card drawn is a face card (King, Queen, or Jack) given that we know the card is a Queen.

In a standard deck of 52 cards, there are 4 Queens and 12 face cards in total (4 Kings, 4 Queens, 4 Jacks).

Since we know that the card drawn is a Queen, we are essentially looking at a subset of the deck that only includes the 4 Queens.

The question is asking what the probability is that this Queen is also a face card. Since all Queens are face cards, the probability is 1, or 100%.

Therefore, none of the provided options (A) 3/13, B) 1/3, C) 4/13, D) 1/52) are correct. The correct answer should be 1 or 100%.

This problem has been solved

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