SOLUTION: suppose we draw a card from a shuffled set of 52 playing cards. what is the probability of drawing a Queen, given that the card drawn is a Face card ?

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Question 1169087: suppose we draw a card from a shuffled
set of 52 playing cards.
what is the probability of drawing a
Queen, given that the card drawn is a
Face card ?

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: 1/3

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Explanation:

We don't know the card's actual value, but we do know 100% it is a face card. So we ignore any other card.

There are 12 face cards since we have 4 kings, 4 queens and 4 jacks.

Of those 12 face cards, 4 are a queen.

The probability of getting a queen, given we know the card is a face card, is 4/12 = 1/3.