You take a deck of cards and pick a card at random, face down. You then predict what the card is. What is the probability of guessing a. the card's suit, b. the ordinal (ace, two, king, etc), and c. the actual card?

1 Answer

#"Suit" = 1/4, "Ordinal" = 1/13, "Card" = 1/52#

Explanation:

You take a deck of cards and spread them out face down. Pick one at random. The odds of guessing:

the suit

There are four suits (hearts, clubs, spades, diamonds) and so the probability of guessing the suit is #1/4#

the ordinal

There are 13 ordinals (Ace, 2 - 10, Jack, Queen, King) and so the probability of guessing the ordinal is #1/13#

the card

There are 52 cards in the deck and so the probability of guessing the card is #1/52#

We can also find this probability by seeing that #1/4xx1/13=1/52#