You are deat one card from a 52 card deck. Fid the probabilly that you are deatt a ctub ora picturecard. The probatity is \( \square \) 1. (Hype an integer ora simpified fraction)

Let \( A \) be the event that a card is a club and \( B \) be the event that a card is a picture card (Jack, Queen, or King). 1. There are 13 clubs in a 52-card deck. So, \( |A| = 13 \). 2. There are 12 picture cards in total (3 per suit). So, \( |B| = 12 \). 3. The intersection \( A \cap B \) represents the club picture cards. There are 3 picture cards in clubs, so \( |A \cap B| = 3 \). 4. Using the formula for the union of two events: \[ |A \cup B| = |A| + |B| - |A \cap B| = 13 + 12 - 3 = 22. \] 5. The required probability is the ratio of favorable outcomes to the total outcomes: \[ P(A \cup B) = \frac{22}{52} = \frac{11}{26}. \] Thus, the probability is \( \frac{11}{26} \).