Final answer:
On average, 13 cards need to be drawn from a shuffled deck of 52 cards to draw a king; this is based on probability calculations considering there are 4 kings in the deck.
Step-by-step explanation:
On average, you need to draw 13 cards from a shuffled deck of 52 cards to draw a king. Since there are 4 kings in a deck, and the cards are evenly distributed, every 13th card on average should be a king. Therefore, the answer is (b) 13 cards.
Understanding the Probability
In terms of probability, this question is asking for the expected draws before you get a king. As there are 4 kings in a 52-card deck and the probability of drawing a king is 4/52, which simplifies to 1/13. Therefore, the expected number of draws to get a king is 13, since one out of every 13 cards is a king on average.