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You draw 3 cards from a standard deck of cards (originally contains 52 cards) and none of them is a face card (there are 12 face cards in the deck to begin with). What is the probability that the next card drawn will be a face card?12/4912/521/523/49

Question

You draw 3 cards from a standard deck of cards (originally contains 52 cards) and none of them is a face card (there are 12 face cards in the deck to begin with). What is the probability that the next card drawn will be a face card?12/4912/521/523/49

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Solution

The question is asking for the probability of drawing a face card from a standard deck after already drawing three non-face cards.

Here's how you can calculate it:

  1. A standard deck has 52 cards, 12 of which are face cards (Jacks, Queens, Kings).

  2. If you've already drawn 3 cards and none of them were face cards, that means there are now 49 cards left in the deck (52 original cards - 3 drawn cards).

  3. The number of face cards left in the deck is still 12 because you haven't drawn any yet.

  4. The probability of drawing a face card next is calculated by dividing the number of face cards left by the total number of cards left.

So, the probability is 12/49.

This problem has been solved

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