# One card is selected at random from a standard 52-card deck of playing cards. What is the probability that the card selected is not a spade?

##### 1 Answer

Feb 11, 2017

#### Explanation:

In a standard 52-card deck, there are 4 Aces. We can figure out the probability of drawing a card that isn't a spade in two ways:

**Directly**

There are four 2s, four 3s,... all the way up to 4 Kings (12 ordinal cards in all, with each ordinal having four suits), and so we can say:

which works out to be

**Indirectly**

We can also do this by saying that there are 4 cards we don't want from a collection of 52, and so: