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

1 Answer
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, #4/52+13/52-1/52=16/52=4/13#