Probability of a face

Probability Level 1

What is the probability that a face card is drawn from a shuffled standard poker deck ?

Round your answer to three decimal places.

Note : An Ace card is not a face card.


The answer is 0.231.

Andy Hayes by Andy Hayes , 38, USA

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2 solutions

Andy Hayes
Jul 5, 2016

There are 12 face cards in a standard poker deck. There are 52 cards in total in a standard poker deck.

Let F F be the event that a face card is drawn. By probability by outcomes ,

P ( F ) = 12 52 = 3 13 ≈ 0.231 P(F)=\frac{12}{52}=\frac{3}{13}\approx 0.231

The probability that a face card is drawn is approximately 0.231 \boxed{0.231} .

22 Helpful 6 Interesting 2 Brilliant 4 Confused

That was easy

Sankalan Ghosh - 3 years, 4 months ago

sure was m8

Alexander Badenhorst - 1 year, 11 months ago

you need to tell us how you wanted it.... I said it as a percentage .... 23.077

D J - 1 year, 11 months ago

I answered 0.231 and got "incorrect, the answer is 0.231." Lol

Ola Skoglund - 1 year, 8 months ago

I guess it did say decimal places... I left it as 3/13.

Arnold Serrata - 1 year, 3 months ago

[(52,12){890000000000}] = 0.231 ---> where 52,12 is nCr & 890000000000 is an amenable number not to mention it's binary representation contains a prime number 13 of ones. There are 1326 combos of being dealt any two cards in the deck so it's binary representation ~1% of any 2 cards you could be dealt!! OR nCr(52,12)/15.694375! :)

Vikram Singh - 1 month, 2 weeks ago
Oscar Jauregui
Apr 10, 2020

There are 3 face cards in each suit. There are 4 suits. So 3*4 = 12 and there are 52 cards. Then 12/52 = 0.2307

1 Helpful 0 Interesting 2 Brilliant 0 Confused

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