Given a standard deck of playing cards, what is the probability of randomly selecting a card that is either red or a face card or both

A standard deck of cards has 52 cards, with 4 types of cards, 13 of each.

The types of cards and their colors are:

clubs (black), diamonds (red), hearts (red) and spades (black).

each of these contain 3 face cards: a jack, a queen and a king.

so there are in total 6 black face cards, and 6 red face cards.

P (red or a face card or both) = n (red or a face card or both) / 52

n (red or a face card or both) = n{26 red + 6 black faces) = 32

so the probability is 32/52=0.615

Answer: 0.615