One of the numbers 1 through 10 is randomly chosen. You are to try to guess the number chosen by asking questions with “yes–no” answers. Compute the expected number of questions you will need to ask in each of the following two cases:

a. Your ith question is to be “Is it ?” i = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

b. With each question you try to eliminate one-half of the remaining numbers, as nearly as possible.