In a deck of 52 Cards, rounded to the two decimals, find the probability that a Black Card is a Face Card (a king, queen, or jack)

Answer 1

In a deck of 52 cards, there are four suits (diamonds, hearts, spades, and clubs). Diamonds and hearts are red; spades and clubs are black.

Each suit has 13 cards: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace.

There are 26 black cards total, and six of those are a face card (jack of clubs, queen of clubs, king of clubs, jack of spades, queen of spades, king of spaces).

Thus, the probability of a black card being a face card is 6/26, or 0.23.

In general, probability can be defined as (number of total successes) / (number of total opportunities). Here, we had (number of black face cards) / (number of black cards) = 6/26.