One card is drawn at random from a well-shuffled pack of 52 playing cards. What is the probability that the card is a face card or a spade?

Face cards = 12, spades = 13, and 3 cards are both (spade jack, queen, king). By inclusion–exclusion the favourable count is 12 + 13 − 3 = 22, so the probability is 22/52 = 11/26.