What is the probability of getting either a spade or a queen when drawing a single card from a deck of 52 cards?

13 spades + 3 non-spade queens = 16 'good' cards
P = 16/52 = 4/13

There are 13 spades in a deck and four queens. Because there is one queen of spades, there are a total of 16 unique spades and queens. That makes the probability 16/52, which simplifies to 4/13.

Probability of a spade: 1 in 4
Probability of a queen: 1 in 13

Probability of a either spade or a queen: 16 out of 52 (13 spades and 3 non-spade queens)

(# of cards that are either spades or queens) / 52

How many cards are either spades or queens? Let's imagine we're pulling out everything that's one or the other to count them. There are 13 spades. Once you put them aside, how many are queens among the rest of the cards?

Put the cards in order from ace to king in the correct suits. Cut the cards 4 times and again 4 times and again and again and one more for luck. Place the cards face down and take away the first 11 cards, the card after that will be a queen.

Well count how many queens there are and how many spades there are. Then add that number and put it out of 52.