There are two methods to do this problem: Method 1: Here are all 52 cards in a deck: A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥ A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦ A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠ A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣ The ones which fit that description as either a heart or a picture card (king, queen or jack), are these 22 cards: A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥ J♦ Q♦ K♦ J♠ Q♠ K♠ J♣ Q♣ K♣ So the answer is 22 out of 52 orwhich reduces to . Method 2: By formula: P(A or B) = P(A) + P(B) - P(A and B) P(♥ or FACE) = P(♥) + P(FACE) - P(♥ and FACE) = + - = = = Edwin