One card is selected at random from a standard deck of 52 playing cards. Use a formula to find the probability of the union of the two events.

Question

The card is a face card or a black card.

Answer 1

P(face card) + P(black) - P(face and black)

12 face cards in a deck, so 12/52 probability

26/52 black card in a deck, so 26/52 probability

6 black face cards in a deck, so 6/52 probability

12/52 + 26/52 - 6/52 = 32/52 = 8/13