What is the probability of randomly choosing an ace from a regular deck of cards? What is the probability of choosing an ace of hearts?

Question

There are 52 cards In a regular deck. There are 4 suits (hearts, clubs, diamonds, and spades) with 13 cards in each suit. What is the probability of randomly choosing an ace from a regular deck of cards? What is the probability of choosing an ace of hearts?

Answer 1

If we draw one card, and all cards are equally likely, then the probability of choosing a card in any subset is

 

|Subset| / |Deck|.

 

For an ace, this is 4/52 = 1/13.

 

For an ace of hearts, this is 1/52.