# A card is drawn from a standard deck of 52 playing cards. What is the probability that the card is an ace or a king?

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23
Nov 15, 2016

$\frac{2}{13}$

#### Explanation:

There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have $4 \times 13 = 52$.

There are 8 cards that fit the question (4 each of aces and kings).

And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:

$\frac{8}{52}$

which we can simplify:

$\frac{8}{52} = \frac{2}{13}$

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