You draw two cards from a standard deck of 52 cards. What is the probability of drawing a face card and then an ace consecutively from the deck without replacement?

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Step-by-step explanation:

We have been given that you draw two cards from a standard deck of 52 cards. We are asked to find the probability of drawing a face card and then an ace consecutively from the deck without replacement.

We know that a standard deck contains 12 face cards.

So probability of drawing a face card would be number of face cards over total cards.

We know that there are 4 aces is a standard deck.

Since we are not not replacing cards, so total number of cards after 1st draw would be 51 cards.

Probability of drawing a face card and then an ace consecutively from the deck without replacement would be product of both probabilities.

Therefore, the probability of drawing a face card and then an ace consecutively from the deck without replacement is .