4.26. 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?" 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.
4.26. 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?" 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.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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How can I solve letters a and b from question 4.26?
Transcribed Image Text:4.26. 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?" 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.
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