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What is the probability of drawing a face card (jack, queen, king) from a standard deck of 52 playing cards?

Enter your answer as a fraction, like this: 42/53

2 Answers

8 votes

Final answer:

The probability of drawing a face card from a standard deck of 52 playing cards is 3/13.

Step-by-step explanation:

To find the probability of drawing a face card (jack, queen, king) from a standard deck of 52 playing cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

There are a total of 52 cards in a standard deck, and out of those, there are 12 face cards (4 jacks, 4 queens, and 4 kings).

Therefore, the probability of drawing a face card is:

P(face card) = number of face cards / total number of cards

P(face card) = 12 / 52

Reducing the fraction to its simplest form, we have:

P(face card) = 3 / 13

Therefore, the probability is 3 / 13

User TKirishima
by
8.2k points
5 votes

Answer:

12/52 or 3/13

Step-by-step explanation:

So lets go over what we know:

There are 12 face cards in a deck of cards

There are 52 cards in a deck

So there are 12 face cards out of 52 cards.

The ratio of this is:

12 : 52

This looks like this in fraction form:


ratio1 : ratio2 =
(ratio1)/(ratio2)

So the ratio 12 : 52 =
(12)/(52)

So the answer is 12/52(this can be simplified to 3/13)

Hope this helps!

User Anshul Patel
by
8.9k points

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