Question

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

Answer 1

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