# Find the probability of drawing an ace or a spade from a deck of 52 cards in a single draw?

Feb 18, 2018

This is known as a compound probability problem

#### Explanation:

There are four aces in a deck of 52 cards, so the probability of drawing an ace is 4/52 = 1/13

Then, there are 13 spades in a deck, so the probability of drawing a spade is 13/52 or 1/4

But, since one of those aces is also a spade, we need to subtract that out so we're not counting it twice.

So, $\frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}$