A card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card is black or a face card?

1 Answer
Feb 5, 2016

#P("black"|"face card") = 8/13#

Explanation:

Of the #52# cards in a standard deck:
#color(white)("XXX")26# are black
and
#color(white)("XXX")6# are non-black face cards.

Therefore
#color(white)("XXX")#The probability of pulling a card that is black or a face card (or both) is
#color(white)("XXX")(26+6)/52=32/52 = 8/13#