Design a strategy that minimizes the expected number of questions you will ask in the following game. you have a deck of cards that consists of one one, two twos, three threes, and so on up to nine nines for a total of 45 cards. someone draws a card from the shuffled deck and looks at its value (hiding it from you). the goal is to determine the value of the card through asking a series of questions, each of which must be answerable with "yes" or "no" (such as "is the card a nine? ").